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Finding the Third Proportional to 187,932 and 257,706

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Solution

The third proportional to 187,932 and 257,706 is: 353,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,932 : 257,706 = 257,706 : x
  2. Step 2: Convert to fraction form
    187,932/257,706 = 257,706/x
  3. Step 3: Cross multiply
    187,932x = 257,706 × 257,706
  4. Step 4: Simplify right side
    187,932x = 66,412,382,436
  5. Step 5: Solve for x
    x = 66,412,382,436/187,932
  6. Step 6: Final answer
    x = 353,385.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.