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Finding the Third Proportional to 158,469 and 348,042

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Solution

The third proportional to 158,469 and 348,042 is: 764,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,469 : 348,042 = 348,042 : x
  2. Step 2: Convert to fraction form
    158,469/348,042 = 348,042/x
  3. Step 3: Cross multiply
    158,469x = 348,042 × 348,042
  4. Step 4: Simplify right side
    158,469x = 121,133,233,764
  5. Step 5: Solve for x
    x = 121,133,233,764/158,469
  6. Step 6: Final answer
    x = 764,397.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.