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Finding the Third Proportional to 161,443.13 and 351,950.06

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Solution

The third proportional to 161,443.13 and 351,950.06 is: 767,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,443.13 : 351,950.06 = 351,950.06 : x
  2. Step 2: Convert to fraction form
    161,443.13/351,950.06 = 351,950.06/x
  3. Step 3: Cross multiply
    161,443.13x = 351,950.06 × 351,950.06
  4. Step 4: Simplify right side
    161,443.13x = 123,868,846,493.75
  5. Step 5: Solve for x
    x = 123,868,846,493.75/161,443.13
  6. Step 6: Final answer
    x = 767,259.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.