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Finding the Third Proportional to 177,442 and 384,831

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Solution

The third proportional to 177,442 and 384,831 is: 834,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,442 : 384,831 = 384,831 : x
  2. Step 2: Convert to fraction form
    177,442/384,831 = 384,831/x
  3. Step 3: Cross multiply
    177,442x = 384,831 × 384,831
  4. Step 4: Simplify right side
    177,442x = 148,094,898,561
  5. Step 5: Solve for x
    x = 148,094,898,561/177,442
  6. Step 6: Final answer
    x = 834,610.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.