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Finding the Third Proportional to 115,524 and 251,940

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Solution

The third proportional to 115,524 and 251,940 is: 549,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,524 : 251,940 = 251,940 : x
  2. Step 2: Convert to fraction form
    115,524/251,940 = 251,940/x
  3. Step 3: Cross multiply
    115,524x = 251,940 × 251,940
  4. Step 4: Simplify right side
    115,524x = 63,473,763,600
  5. Step 5: Solve for x
    x = 63,473,763,600/115,524
  6. Step 6: Final answer
    x = 549,442.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.