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Finding the Third Proportional to 155,497 and 327,598

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Solution

The third proportional to 155,497 and 327,598 is: 690,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,497 : 327,598 = 327,598 : x
  2. Step 2: Convert to fraction form
    155,497/327,598 = 327,598/x
  3. Step 3: Cross multiply
    155,497x = 327,598 × 327,598
  4. Step 4: Simplify right side
    155,497x = 107,320,449,604
  5. Step 5: Solve for x
    x = 107,320,449,604/155,497
  6. Step 6: Final answer
    x = 690,176.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.