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Finding the Third Proportional to 187,666 and 276,534

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Solution

The third proportional to 187,666 and 276,534 is: 407,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,666 : 276,534 = 276,534 : x
  2. Step 2: Convert to fraction form
    187,666/276,534 = 276,534/x
  3. Step 3: Cross multiply
    187,666x = 276,534 × 276,534
  4. Step 4: Simplify right side
    187,666x = 76,471,053,156
  5. Step 5: Solve for x
    x = 76,471,053,156/187,666
  6. Step 6: Final answer
    x = 407,484.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.