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Finding the Third Proportional to 116,412 and 250,659

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Solution

The third proportional to 116,412 and 250,659 is: 539,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,412 : 250,659 = 250,659 : x
  2. Step 2: Convert to fraction form
    116,412/250,659 = 250,659/x
  3. Step 3: Cross multiply
    116,412x = 250,659 × 250,659
  4. Step 4: Simplify right side
    116,412x = 62,829,934,281
  5. Step 5: Solve for x
    x = 62,829,934,281/116,412
  6. Step 6: Final answer
    x = 539,720.43

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Why These Related Problems?

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