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Finding the Third Proportional to 125,408 and 244,534

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Solution

The third proportional to 125,408 and 244,534 is: 476,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,408 : 244,534 = 244,534 : x
  2. Step 2: Convert to fraction form
    125,408/244,534 = 244,534/x
  3. Step 3: Cross multiply
    125,408x = 244,534 × 244,534
  4. Step 4: Simplify right side
    125,408x = 59,796,877,156
  5. Step 5: Solve for x
    x = 59,796,877,156/125,408
  6. Step 6: Final answer
    x = 476,818.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.