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Finding the Third Proportional to 118,718 and 260,762

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Solution

The third proportional to 118,718 and 260,762 is: 572,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,718 : 260,762 = 260,762 : x
  2. Step 2: Convert to fraction form
    118,718/260,762 = 260,762/x
  3. Step 3: Cross multiply
    118,718x = 260,762 × 260,762
  4. Step 4: Simplify right side
    118,718x = 67,996,820,644
  5. Step 5: Solve for x
    x = 67,996,820,644/118,718
  6. Step 6: Final answer
    x = 572,759.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.