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Finding the Third Proportional to 125,359 and 268,209

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Solution

The third proportional to 125,359 and 268,209 is: 573,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,359 : 268,209 = 268,209 : x
  2. Step 2: Convert to fraction form
    125,359/268,209 = 268,209/x
  3. Step 3: Cross multiply
    125,359x = 268,209 × 268,209
  4. Step 4: Simplify right side
    125,359x = 71,936,067,681
  5. Step 5: Solve for x
    x = 71,936,067,681/125,359
  6. Step 6: Final answer
    x = 573,840.47

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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.