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Finding the Third Proportional to 161,736.75 and 253,140.19

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Solution

The third proportional to 161,736.75 and 253,140.19 is: 396,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,736.75 : 253,140.19 = 253,140.19 : x
  2. Step 2: Convert to fraction form
    161,736.75/253,140.19 = 253,140.19/x
  3. Step 3: Cross multiply
    161,736.75x = 253,140.19 × 253,140.19
  4. Step 4: Simplify right side
    161,736.75x = 64,079,954,527.54
  5. Step 5: Solve for x
    x = 64,079,954,527.54/161,736.75
  6. Step 6: Final answer
    x = 396,199.10

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Why These Related Problems?

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