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Finding the Third Proportional to 146,493.47 and 220,130.25

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Solution

The third proportional to 146,493.47 and 220,130.25 is: 330,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,493.47 : 220,130.25 = 220,130.25 : x
  2. Step 2: Convert to fraction form
    146,493.47/220,130.25 = 220,130.25/x
  3. Step 3: Cross multiply
    146,493.47x = 220,130.25 × 220,130.25
  4. Step 4: Simplify right side
    146,493.47x = 48,457,326,965.06
  5. Step 5: Solve for x
    x = 48,457,326,965.06/146,493.47
  6. Step 6: Final answer
    x = 330,781.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.