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Finding the Third Proportional to 189,982 and 296,475

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Solution

The third proportional to 189,982 and 296,475 is: 462,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,982 : 296,475 = 296,475 : x
  2. Step 2: Convert to fraction form
    189,982/296,475 = 296,475/x
  3. Step 3: Cross multiply
    189,982x = 296,475 × 296,475
  4. Step 4: Simplify right side
    189,982x = 87,897,425,625
  5. Step 5: Solve for x
    x = 87,897,425,625/189,982
  6. Step 6: Final answer
    x = 462,661.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.