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Finding the Third Proportional to 92,382 and 197,397

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Solution

The third proportional to 92,382 and 197,397 is: 421,787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,382 : 197,397 = 197,397 : x
  2. Step 2: Convert to fraction form
    92,382/197,397 = 197,397/x
  3. Step 3: Cross multiply
    92,382x = 197,397 × 197,397
  4. Step 4: Simplify right side
    92,382x = 38,965,575,609
  5. Step 5: Solve for x
    x = 38,965,575,609/92,382
  6. Step 6: Final answer
    x = 421,787.53

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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.