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Finding the Third Proportional to 161,743.50 and 348,759

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Solution

The third proportional to 161,743.50 and 348,759 is: 752,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,743.50 : 348,759 = 348,759 : x
  2. Step 2: Convert to fraction form
    161,743.50/348,759 = 348,759/x
  3. Step 3: Cross multiply
    161,743.50x = 348,759 × 348,759
  4. Step 4: Simplify right side
    161,743.50x = 121,632,840,081
  5. Step 5: Solve for x
    x = 121,632,840,081/161,743.50
  6. Step 6: Final answer
    x = 752,010.68

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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.