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Finding the Third Proportional to 167,154.89 and 348,160.78

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Solution

The third proportional to 167,154.89 and 348,160.78 is: 725,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,154.89 : 348,160.78 = 348,160.78 : x
  2. Step 2: Convert to fraction form
    167,154.89/348,160.78 = 348,160.78/x
  3. Step 3: Cross multiply
    167,154.89x = 348,160.78 × 348,160.78
  4. Step 4: Simplify right side
    167,154.89x = 121,215,929,600.61
  5. Step 5: Solve for x
    x = 121,215,929,600.61/167,154.89
  6. Step 6: Final answer
    x = 725,171.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.