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Finding the Third Proportional to 177,336 and 259,398

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Solution

The third proportional to 177,336 and 259,398 is: 379,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,336 : 259,398 = 259,398 : x
  2. Step 2: Convert to fraction form
    177,336/259,398 = 259,398/x
  3. Step 3: Cross multiply
    177,336x = 259,398 × 259,398
  4. Step 4: Simplify right side
    177,336x = 67,287,322,404
  5. Step 5: Solve for x
    x = 67,287,322,404/177,336
  6. Step 6: Final answer
    x = 379,434.08

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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.