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Finding the Third Proportional to 80,444 and 176,749

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Solution

The third proportional to 80,444 and 176,749 is: 388,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,444 : 176,749 = 176,749 : x
  2. Step 2: Convert to fraction form
    80,444/176,749 = 176,749/x
  3. Step 3: Cross multiply
    80,444x = 176,749 × 176,749
  4. Step 4: Simplify right side
    80,444x = 31,240,209,001
  5. Step 5: Solve for x
    x = 31,240,209,001/80,444
  6. Step 6: Final answer
    x = 388,347.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.