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Finding the Third Proportional to 125,193 and 270,414

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Solution

The third proportional to 125,193 and 270,414 is: 584,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,193 : 270,414 = 270,414 : x
  2. Step 2: Convert to fraction form
    125,193/270,414 = 270,414/x
  3. Step 3: Cross multiply
    125,193x = 270,414 × 270,414
  4. Step 4: Simplify right side
    125,193x = 73,123,731,396
  5. Step 5: Solve for x
    x = 73,123,731,396/125,193
  6. Step 6: Final answer
    x = 584,088.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.