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Finding the Third Proportional to 92,331 and 197,459

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Solution

The third proportional to 92,331 and 197,459 is: 422,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,331 : 197,459 = 197,459 : x
  2. Step 2: Convert to fraction form
    92,331/197,459 = 197,459/x
  3. Step 3: Cross multiply
    92,331x = 197,459 × 197,459
  4. Step 4: Simplify right side
    92,331x = 38,990,056,681
  5. Step 5: Solve for x
    x = 38,990,056,681/92,331
  6. Step 6: Final answer
    x = 422,285.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.