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Finding the Third Proportional to 187,534 and 402,164

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Solution

The third proportional to 187,534 and 402,164 is: 862,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,534 : 402,164 = 402,164 : x
  2. Step 2: Convert to fraction form
    187,534/402,164 = 402,164/x
  3. Step 3: Cross multiply
    187,534x = 402,164 × 402,164
  4. Step 4: Simplify right side
    187,534x = 161,735,882,896
  5. Step 5: Solve for x
    x = 161,735,882,896/187,534
  6. Step 6: Final answer
    x = 862,434.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.