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Finding the Third Proportional to 165,098.25 and 361,842.19

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Solution

The third proportional to 165,098.25 and 361,842.19 is: 793,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,098.25 : 361,842.19 = 361,842.19 : x
  2. Step 2: Convert to fraction form
    165,098.25/361,842.19 = 361,842.19/x
  3. Step 3: Cross multiply
    165,098.25x = 361,842.19 × 361,842.19
  4. Step 4: Simplify right side
    165,098.25x = 130,929,768,654.79
  5. Step 5: Solve for x
    x = 130,929,768,654.79/165,098.25
  6. Step 6: Final answer
    x = 793,041.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.