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Finding the Third Proportional to 165,399.75 and 247,448.25

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Solution

The third proportional to 165,399.75 and 247,448.25 is: 370,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,399.75 : 247,448.25 = 247,448.25 : x
  2. Step 2: Convert to fraction form
    165,399.75/247,448.25 = 247,448.25/x
  3. Step 3: Cross multiply
    165,399.75x = 247,448.25 × 247,448.25
  4. Step 4: Simplify right side
    165,399.75x = 61,230,636,428.06
  5. Step 5: Solve for x
    x = 61,230,636,428.06/165,399.75
  6. Step 6: Final answer
    x = 370,197.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.