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Finding the Third Proportional to 253,929.94 and 337,086.56

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Solution

The third proportional to 253,929.94 and 337,086.56 is: 447,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,929.94 : 337,086.56 = 337,086.56 : x
  2. Step 2: Convert to fraction form
    253,929.94/337,086.56 = 337,086.56/x
  3. Step 3: Cross multiply
    253,929.94x = 337,086.56 × 337,086.56
  4. Step 4: Simplify right side
    253,929.94x = 113,627,350,618.07
  5. Step 5: Solve for x
    x = 113,627,350,618.07/253,929.94
  6. Step 6: Final answer
    x = 447,475.20

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.