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Finding the Third Proportional to 125,211 and 278,418

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Solution

The third proportional to 125,211 and 278,418 is: 619,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,211 : 278,418 = 278,418 : x
  2. Step 2: Convert to fraction form
    125,211/278,418 = 278,418/x
  3. Step 3: Cross multiply
    125,211x = 278,418 × 278,418
  4. Step 4: Simplify right side
    125,211x = 77,516,582,724
  5. Step 5: Solve for x
    x = 77,516,582,724/125,211
  6. Step 6: Final answer
    x = 619,087.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.