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Finding the Third Proportional to 177,342 and 248,846

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Solution

The third proportional to 177,342 and 248,846 is: 349,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,342 : 248,846 = 248,846 : x
  2. Step 2: Convert to fraction form
    177,342/248,846 = 248,846/x
  3. Step 3: Cross multiply
    177,342x = 248,846 × 248,846
  4. Step 4: Simplify right side
    177,342x = 61,924,331,716
  5. Step 5: Solve for x
    x = 61,924,331,716/177,342
  6. Step 6: Final answer
    x = 349,180.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.