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Finding the Third Proportional to 161,462.11 and 348,758.16

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Solution

The third proportional to 161,462.11 and 348,758.16 is: 753,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,462.11 : 348,758.16 = 348,758.16 : x
  2. Step 2: Convert to fraction form
    161,462.11/348,758.16 = 348,758.16/x
  3. Step 3: Cross multiply
    161,462.11x = 348,758.16 × 348,758.16
  4. Step 4: Simplify right side
    161,462.11x = 121,632,251,550.90
  5. Step 5: Solve for x
    x = 121,632,251,550.90/161,462.11
  6. Step 6: Final answer
    x = 753,317.62

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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.