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Finding the Third Proportional to 187,016 and 296,373

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Solution

The third proportional to 187,016 and 296,373 is: 469,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,016 : 296,373 = 296,373 : x
  2. Step 2: Convert to fraction form
    187,016/296,373 = 296,373/x
  3. Step 3: Cross multiply
    187,016x = 296,373 × 296,373
  4. Step 4: Simplify right side
    187,016x = 87,836,955,129
  5. Step 5: Solve for x
    x = 87,836,955,129/187,016
  6. Step 6: Final answer
    x = 469,676.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.