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Finding the Third Proportional to 161,799.75 and 253,262.25

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Solution

The third proportional to 161,799.75 and 253,262.25 is: 396,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,799.75 : 253,262.25 = 253,262.25 : x
  2. Step 2: Convert to fraction form
    161,799.75/253,262.25 = 253,262.25/x
  3. Step 3: Cross multiply
    161,799.75x = 253,262.25 × 253,262.25
  4. Step 4: Simplify right side
    161,799.75x = 64,141,767,275.06
  5. Step 5: Solve for x
    x = 64,141,767,275.06/161,799.75
  6. Step 6: Final answer
    x = 396,426.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.