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Finding the Third Proportional to 131,740.17 and 283,461.19

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Solution

The third proportional to 131,740.17 and 283,461.19 is: 609,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,740.17 : 283,461.19 = 283,461.19 : x
  2. Step 2: Convert to fraction form
    131,740.17/283,461.19 = 283,461.19/x
  3. Step 3: Cross multiply
    131,740.17x = 283,461.19 × 283,461.19
  4. Step 4: Simplify right side
    131,740.17x = 80,350,244,818.91
  5. Step 5: Solve for x
    x = 80,350,244,818.91/131,740.17
  6. Step 6: Final answer
    x = 609,914.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.