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Finding the Third Proportional to 161,965.13 and 254,053.13

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Solution

The third proportional to 161,965.13 and 254,053.13 is: 398,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,965.13 : 254,053.13 = 254,053.13 : x
  2. Step 2: Convert to fraction form
    161,965.13/254,053.13 = 254,053.13/x
  3. Step 3: Cross multiply
    161,965.13x = 254,053.13 × 254,053.13
  4. Step 4: Simplify right side
    161,965.13x = 64,542,990,322.27
  5. Step 5: Solve for x
    x = 64,542,990,322.27/161,965.13
  6. Step 6: Final answer
    x = 398,499.31

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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.