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Finding the Third Proportional to 161,781.75 and 348,402.75

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Solution

The third proportional to 161,781.75 and 348,402.75 is: 750,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,781.75 : 348,402.75 = 348,402.75 : x
  2. Step 2: Convert to fraction form
    161,781.75/348,402.75 = 348,402.75/x
  3. Step 3: Cross multiply
    161,781.75x = 348,402.75 × 348,402.75
  4. Step 4: Simplify right side
    161,781.75x = 121,384,476,207.56
  5. Step 5: Solve for x
    x = 121,384,476,207.56/161,781.75
  6. Step 6: Final answer
    x = 750,297.71

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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.