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Finding the Third Proportional to 174,234 and 381,666

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Solution

The third proportional to 174,234 and 381,666 is: 836,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,234 : 381,666 = 381,666 : x
  2. Step 2: Convert to fraction form
    174,234/381,666 = 381,666/x
  3. Step 3: Cross multiply
    174,234x = 381,666 × 381,666
  4. Step 4: Simplify right side
    174,234x = 145,668,935,556
  5. Step 5: Solve for x
    x = 145,668,935,556/174,234
  6. Step 6: Final answer
    x = 836,053.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.