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Finding the Third Proportional to 177,614 and 380,498

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Solution

The third proportional to 177,614 and 380,498 is: 815,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,614 : 380,498 = 380,498 : x
  2. Step 2: Convert to fraction form
    177,614/380,498 = 380,498/x
  3. Step 3: Cross multiply
    177,614x = 380,498 × 380,498
  4. Step 4: Simplify right side
    177,614x = 144,778,728,004
  5. Step 5: Solve for x
    x = 144,778,728,004/177,614
  6. Step 6: Final answer
    x = 815,131.28

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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.