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Finding the Third Proportional to 167,150 and 348,124

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Solution

The third proportional to 167,150 and 348,124 is: 725,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,150 : 348,124 = 348,124 : x
  2. Step 2: Convert to fraction form
    167,150/348,124 = 348,124/x
  3. Step 3: Cross multiply
    167,150x = 348,124 × 348,124
  4. Step 4: Simplify right side
    167,150x = 121,190,319,376
  5. Step 5: Solve for x
    x = 121,190,319,376/167,150
  6. Step 6: Final answer
    x = 725,039.30

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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.