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Finding the Third Proportional to 92,582 and 198,285

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Solution

The third proportional to 92,582 and 198,285 is: 424,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,582 : 198,285 = 198,285 : x
  2. Step 2: Convert to fraction form
    92,582/198,285 = 198,285/x
  3. Step 3: Cross multiply
    92,582x = 198,285 × 198,285
  4. Step 4: Simplify right side
    92,582x = 39,316,941,225
  5. Step 5: Solve for x
    x = 39,316,941,225/92,582
  6. Step 6: Final answer
    x = 424,671.55

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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.