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Finding the Third Proportional to 125,470 and 268,394

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Solution

The third proportional to 125,470 and 268,394 is: 574,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,470 : 268,394 = 268,394 : x
  2. Step 2: Convert to fraction form
    125,470/268,394 = 268,394/x
  3. Step 3: Cross multiply
    125,470x = 268,394 × 268,394
  4. Step 4: Simplify right side
    125,470x = 72,035,339,236
  5. Step 5: Solve for x
    x = 72,035,339,236/125,470
  6. Step 6: Final answer
    x = 574,124.01

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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.