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Finding the Third Proportional to 165,827.25 and 389,782.13

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Solution

The third proportional to 165,827.25 and 389,782.13 is: 916,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,827.25 : 389,782.13 = 389,782.13 : x
  2. Step 2: Convert to fraction form
    165,827.25/389,782.13 = 389,782.13/x
  3. Step 3: Cross multiply
    165,827.25x = 389,782.13 × 389,782.13
  4. Step 4: Simplify right side
    165,827.25x = 151,930,104,969.52
  5. Step 5: Solve for x
    x = 151,930,104,969.52/165,827.25
  6. Step 6: Final answer
    x = 916,195.05

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.