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Finding the Third Proportional to 165,754.13 and 254,923.69

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Solution

The third proportional to 165,754.13 and 254,923.69 is: 392,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,754.13 : 254,923.69 = 254,923.69 : x
  2. Step 2: Convert to fraction form
    165,754.13/254,923.69 = 254,923.69/x
  3. Step 3: Cross multiply
    165,754.13x = 254,923.69 × 254,923.69
  4. Step 4: Simplify right side
    165,754.13x = 64,986,086,448.60
  5. Step 5: Solve for x
    x = 64,986,086,448.60/165,754.13
  6. Step 6: Final answer
    x = 392,063.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.