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Finding the Third Proportional to 131,411.74 and 287,700.61

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Solution

The third proportional to 131,411.74 and 287,700.61 is: 629,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,411.74 : 287,700.61 = 287,700.61 : x
  2. Step 2: Convert to fraction form
    131,411.74/287,700.61 = 287,700.61/x
  3. Step 3: Cross multiply
    131,411.74x = 287,700.61 × 287,700.61
  4. Step 4: Simplify right side
    131,411.74x = 82,771,640,634.75
  5. Step 5: Solve for x
    x = 82,771,640,634.75/131,411.74
  6. Step 6: Final answer
    x = 629,864.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.