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Finding the Third Proportional to 167,650 and 361,436

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Solution

The third proportional to 167,650 and 361,436 is: 779,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,650 : 361,436 = 361,436 : x
  2. Step 2: Convert to fraction form
    167,650/361,436 = 361,436/x
  3. Step 3: Cross multiply
    167,650x = 361,436 × 361,436
  4. Step 4: Simplify right side
    167,650x = 130,635,982,096
  5. Step 5: Solve for x
    x = 130,635,982,096/167,650
  6. Step 6: Final answer
    x = 779,218.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.