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Finding the Third Proportional to 108,564 and 239,214.75

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Solution

The third proportional to 108,564 and 239,214.75 is: 527,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,564 : 239,214.75 = 239,214.75 : x
  2. Step 2: Convert to fraction form
    108,564/239,214.75 = 239,214.75/x
  3. Step 3: Cross multiply
    108,564x = 239,214.75 × 239,214.75
  4. Step 4: Simplify right side
    108,564x = 57,223,696,617.56
  5. Step 5: Solve for x
    x = 57,223,696,617.56/108,564
  6. Step 6: Final answer
    x = 527,096.43

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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.