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Finding the Third Proportional to 131,366 and 283,360

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Solution

The third proportional to 131,366 and 283,360 is: 611,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,366 : 283,360 = 283,360 : x
  2. Step 2: Convert to fraction form
    131,366/283,360 = 283,360/x
  3. Step 3: Cross multiply
    131,366x = 283,360 × 283,360
  4. Step 4: Simplify right side
    131,366x = 80,292,889,600
  5. Step 5: Solve for x
    x = 80,292,889,600/131,366
  6. Step 6: Final answer
    x = 611,215.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.