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Finding the Third Proportional to 177,556 and 381,464

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Solution

The third proportional to 177,556 and 381,464 is: 819,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,556 : 381,464 = 381,464 : x
  2. Step 2: Convert to fraction form
    177,556/381,464 = 381,464/x
  3. Step 3: Cross multiply
    177,556x = 381,464 × 381,464
  4. Step 4: Simplify right side
    177,556x = 145,514,783,296
  5. Step 5: Solve for x
    x = 145,514,783,296/177,556
  6. Step 6: Final answer
    x = 819,543.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.