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Finding the Third Proportional to 161,947.69 and 348,499.13

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Solution

The third proportional to 161,947.69 and 348,499.13 is: 749,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,947.69 : 348,499.13 = 348,499.13 : x
  2. Step 2: Convert to fraction form
    161,947.69/348,499.13 = 348,499.13/x
  3. Step 3: Cross multiply
    161,947.69x = 348,499.13 × 348,499.13
  4. Step 4: Simplify right side
    161,947.69x = 121,451,640,125.77
  5. Step 5: Solve for x
    x = 121,451,640,125.77/161,947.69
  6. Step 6: Final answer
    x = 749,943.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.