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Finding the Third Proportional to 173,952 and 268,785

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Solution

The third proportional to 173,952 and 268,785 is: 415,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,952 : 268,785 = 268,785 : x
  2. Step 2: Convert to fraction form
    173,952/268,785 = 268,785/x
  3. Step 3: Cross multiply
    173,952x = 268,785 × 268,785
  4. Step 4: Simplify right side
    173,952x = 72,245,376,225
  5. Step 5: Solve for x
    x = 72,245,376,225/173,952
  6. Step 6: Final answer
    x = 415,317.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.