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Finding the Third Proportional to 125,227 and 278,484

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Solution

The third proportional to 125,227 and 278,484 is: 619,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,227 : 278,484 = 278,484 : x
  2. Step 2: Convert to fraction form
    125,227/278,484 = 278,484/x
  3. Step 3: Cross multiply
    125,227x = 278,484 × 278,484
  4. Step 4: Simplify right side
    125,227x = 77,553,338,256
  5. Step 5: Solve for x
    x = 77,553,338,256/125,227
  6. Step 6: Final answer
    x = 619,302.05

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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.