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Finding the Third Proportional to 165,750.38 and 254,918.25

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Solution

The third proportional to 165,750.38 and 254,918.25 is: 392,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,750.38 : 254,918.25 = 254,918.25 : x
  2. Step 2: Convert to fraction form
    165,750.38/254,918.25 = 254,918.25/x
  3. Step 3: Cross multiply
    165,750.38x = 254,918.25 × 254,918.25
  4. Step 4: Simplify right side
    165,750.38x = 64,983,314,183.06
  5. Step 5: Solve for x
    x = 64,983,314,183.06/165,750.38
  6. Step 6: Final answer
    x = 392,055.31

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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.