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Finding the Third Proportional to 187,082 and 397,534

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Solution

The third proportional to 187,082 and 397,534 is: 844,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,082 : 397,534 = 397,534 : x
  2. Step 2: Convert to fraction form
    187,082/397,534 = 397,534/x
  3. Step 3: Cross multiply
    187,082x = 397,534 × 397,534
  4. Step 4: Simplify right side
    187,082x = 158,033,281,156
  5. Step 5: Solve for x
    x = 158,033,281,156/187,082
  6. Step 6: Final answer
    x = 844,727.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.