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Finding the Third Proportional to 108,815.25 and 239,697

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Solution

The third proportional to 108,815.25 and 239,697 is: 528,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,815.25 : 239,697 = 239,697 : x
  2. Step 2: Convert to fraction form
    108,815.25/239,697 = 239,697/x
  3. Step 3: Cross multiply
    108,815.25x = 239,697 × 239,697
  4. Step 4: Simplify right side
    108,815.25x = 57,454,651,809
  5. Step 5: Solve for x
    x = 57,454,651,809/108,815.25
  6. Step 6: Final answer
    x = 528,001.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.