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Finding the Third Proportional to 135,872 and 296,432

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Solution

The third proportional to 135,872 and 296,432 is: 646,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,872 : 296,432 = 296,432 : x
  2. Step 2: Convert to fraction form
    135,872/296,432 = 296,432/x
  3. Step 3: Cross multiply
    135,872x = 296,432 × 296,432
  4. Step 4: Simplify right side
    135,872x = 87,871,930,624
  5. Step 5: Solve for x
    x = 87,871,930,624/135,872
  6. Step 6: Final answer
    x = 646,725.82

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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.