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Finding the Third Proportional to 161,758.13 and 351,460.69

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Solution

The third proportional to 161,758.13 and 351,460.69 is: 763,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,758.13 : 351,460.69 = 351,460.69 : x
  2. Step 2: Convert to fraction form
    161,758.13/351,460.69 = 351,460.69/x
  3. Step 3: Cross multiply
    161,758.13x = 351,460.69 × 351,460.69
  4. Step 4: Simplify right side
    161,758.13x = 123,524,614,857.97
  5. Step 5: Solve for x
    x = 123,524,614,857.97/161,758.13
  6. Step 6: Final answer
    x = 763,637.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.