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Finding the Third Proportional to 187,082 and 252,829

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Solution

The third proportional to 187,082 and 252,829 is: 341,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,082 : 252,829 = 252,829 : x
  2. Step 2: Convert to fraction form
    187,082/252,829 = 252,829/x
  3. Step 3: Cross multiply
    187,082x = 252,829 × 252,829
  4. Step 4: Simplify right side
    187,082x = 63,922,503,241
  5. Step 5: Solve for x
    x = 63,922,503,241/187,082
  6. Step 6: Final answer
    x = 341,681.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.