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Finding the Third Proportional to 125,315 and 273,496

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Solution

The third proportional to 125,315 and 273,496 is: 596,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,315 : 273,496 = 273,496 : x
  2. Step 2: Convert to fraction form
    125,315/273,496 = 273,496/x
  3. Step 3: Cross multiply
    125,315x = 273,496 × 273,496
  4. Step 4: Simplify right side
    125,315x = 74,800,062,016
  5. Step 5: Solve for x
    x = 74,800,062,016/125,315
  6. Step 6: Final answer
    x = 596,896.32

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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.