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Finding the Third Proportional to 135,874 and 296,432

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Solution

The third proportional to 135,874 and 296,432 is: 646,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,874 : 296,432 = 296,432 : x
  2. Step 2: Convert to fraction form
    135,874/296,432 = 296,432/x
  3. Step 3: Cross multiply
    135,874x = 296,432 × 296,432
  4. Step 4: Simplify right side
    135,874x = 87,871,930,624
  5. Step 5: Solve for x
    x = 87,871,930,624/135,874
  6. Step 6: Final answer
    x = 646,716.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.