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Finding the Third Proportional to 125,498 and 268,460

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Solution

The third proportional to 125,498 and 268,460 is: 574,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,498 : 268,460 = 268,460 : x
  2. Step 2: Convert to fraction form
    125,498/268,460 = 268,460/x
  3. Step 3: Cross multiply
    125,498x = 268,460 × 268,460
  4. Step 4: Simplify right side
    125,498x = 72,070,771,600
  5. Step 5: Solve for x
    x = 72,070,771,600/125,498
  6. Step 6: Final answer
    x = 574,278.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.