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Finding the Third Proportional to 108,565 and 239,216

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Solution

The third proportional to 108,565 and 239,216 is: 527,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,565 : 239,216 = 239,216 : x
  2. Step 2: Convert to fraction form
    108,565/239,216 = 239,216/x
  3. Step 3: Cross multiply
    108,565x = 239,216 × 239,216
  4. Step 4: Simplify right side
    108,565x = 57,224,294,656
  5. Step 5: Solve for x
    x = 57,224,294,656/108,565
  6. Step 6: Final answer
    x = 527,097.08

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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.