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Finding the Third Proportional to 125,658 and 273,434

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Solution

The third proportional to 125,658 and 273,434 is: 594,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,658 : 273,434 = 273,434 : x
  2. Step 2: Convert to fraction form
    125,658/273,434 = 273,434/x
  3. Step 3: Cross multiply
    125,658x = 273,434 × 273,434
  4. Step 4: Simplify right side
    125,658x = 74,766,152,356
  5. Step 5: Solve for x
    x = 74,766,152,356/125,658
  6. Step 6: Final answer
    x = 594,997.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.