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Finding the Third Proportional to 146,144.25 and 220,178.25

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Solution

The third proportional to 146,144.25 and 220,178.25 is: 331,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,144.25 : 220,178.25 = 220,178.25 : x
  2. Step 2: Convert to fraction form
    146,144.25/220,178.25 = 220,178.25/x
  3. Step 3: Cross multiply
    146,144.25x = 220,178.25 × 220,178.25
  4. Step 4: Simplify right side
    146,144.25x = 48,478,461,773.06
  5. Step 5: Solve for x
    x = 48,478,461,773.06/146,144.25
  6. Step 6: Final answer
    x = 331,716.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.