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Finding the Third Proportional to 92,376 and 198,570

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Solution

The third proportional to 92,376 and 198,570 is: 426,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,376 : 198,570 = 198,570 : x
  2. Step 2: Convert to fraction form
    92,376/198,570 = 198,570/x
  3. Step 3: Cross multiply
    92,376x = 198,570 × 198,570
  4. Step 4: Simplify right side
    92,376x = 39,430,044,900
  5. Step 5: Solve for x
    x = 39,430,044,900/92,376
  6. Step 6: Final answer
    x = 426,842.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.