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Finding the Third Proportional to 177,444 and 384,732

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Solution

The third proportional to 177,444 and 384,732 is: 834,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,444 : 384,732 = 384,732 : x
  2. Step 2: Convert to fraction form
    177,444/384,732 = 384,732/x
  3. Step 3: Cross multiply
    177,444x = 384,732 × 384,732
  4. Step 4: Simplify right side
    177,444x = 148,018,711,824
  5. Step 5: Solve for x
    x = 148,018,711,824/177,444
  6. Step 6: Final answer
    x = 834,171.41

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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.