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Finding the Third Proportional to 91,594 and 198,740

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Solution

The third proportional to 91,594 and 198,740 is: 431,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,594 : 198,740 = 198,740 : x
  2. Step 2: Convert to fraction form
    91,594/198,740 = 198,740/x
  3. Step 3: Cross multiply
    91,594x = 198,740 × 198,740
  4. Step 4: Simplify right side
    91,594x = 39,497,587,600
  5. Step 5: Solve for x
    x = 39,497,587,600/91,594
  6. Step 6: Final answer
    x = 431,224.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.