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Finding the Third Proportional to 177,399 and 259,494

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Solution

The third proportional to 177,399 and 259,494 is: 379,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,399 : 259,494 = 259,494 : x
  2. Step 2: Convert to fraction form
    177,399/259,494 = 259,494/x
  3. Step 3: Cross multiply
    177,399x = 259,494 × 259,494
  4. Step 4: Simplify right side
    177,399x = 67,337,136,036
  5. Step 5: Solve for x
    x = 67,337,136,036/177,399
  6. Step 6: Final answer
    x = 379,580.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.