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Finding the Third Proportional to 146,225.25 and 303,917.06

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Solution

The third proportional to 146,225.25 and 303,917.06 is: 631,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,225.25 : 303,917.06 = 303,917.06 : x
  2. Step 2: Convert to fraction form
    146,225.25/303,917.06 = 303,917.06/x
  3. Step 3: Cross multiply
    146,225.25x = 303,917.06 × 303,917.06
  4. Step 4: Simplify right side
    146,225.25x = 92,365,580,878.63
  5. Step 5: Solve for x
    x = 92,365,580,878.63/146,225.25
  6. Step 6: Final answer
    x = 631,666.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.