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Finding the Third Proportional to 116,585 and 251,548

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Solution

The third proportional to 116,585 and 251,548 is: 542,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,585 : 251,548 = 251,548 : x
  2. Step 2: Convert to fraction form
    116,585/251,548 = 251,548/x
  3. Step 3: Cross multiply
    116,585x = 251,548 × 251,548
  4. Step 4: Simplify right side
    116,585x = 63,276,396,304
  5. Step 5: Solve for x
    x = 63,276,396,304/116,585
  6. Step 6: Final answer
    x = 542,749.04

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Why These Related Problems?

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