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Finding the Third Proportional to 115,879 and 250,712

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Solution

The third proportional to 115,879 and 250,712 is: 542,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,879 : 250,712 = 250,712 : x
  2. Step 2: Convert to fraction form
    115,879/250,712 = 250,712/x
  3. Step 3: Cross multiply
    115,879x = 250,712 × 250,712
  4. Step 4: Simplify right side
    115,879x = 62,856,506,944
  5. Step 5: Solve for x
    x = 62,856,506,944/115,879
  6. Step 6: Final answer
    x = 542,432.25

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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.