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Finding the Third Proportional to 152,085 and 226,882

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Solution

The third proportional to 152,085 and 226,882 is: 338,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,085 : 226,882 = 226,882 : x
  2. Step 2: Convert to fraction form
    152,085/226,882 = 226,882/x
  3. Step 3: Cross multiply
    152,085x = 226,882 × 226,882
  4. Step 4: Simplify right side
    152,085x = 51,475,441,924
  5. Step 5: Solve for x
    x = 51,475,441,924/152,085
  6. Step 6: Final answer
    x = 338,464.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.