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Finding the Third Proportional to 176,401.13 and 387,917.44

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Solution

The third proportional to 176,401.13 and 387,917.44 is: 853,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,401.13 : 387,917.44 = 387,917.44 : x
  2. Step 2: Convert to fraction form
    176,401.13/387,917.44 = 387,917.44/x
  3. Step 3: Cross multiply
    176,401.13x = 387,917.44 × 387,917.44
  4. Step 4: Simplify right side
    176,401.13x = 150,479,938,316.57
  5. Step 5: Solve for x
    x = 150,479,938,316.57/176,401.13
  6. Step 6: Final answer
    x = 853,055.43

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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.