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Finding the Third Proportional to 131,685 and 283,344

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Solution

The third proportional to 131,685 and 283,344 is: 609,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,685 : 283,344 = 283,344 : x
  2. Step 2: Convert to fraction form
    131,685/283,344 = 283,344/x
  3. Step 3: Cross multiply
    131,685x = 283,344 × 283,344
  4. Step 4: Simplify right side
    131,685x = 80,283,822,336
  5. Step 5: Solve for x
    x = 80,283,822,336/131,685
  6. Step 6: Final answer
    x = 609,665.66

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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.