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Finding the Third Proportional to 108,564.50 and 239,216.50

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Solution

The third proportional to 108,564.50 and 239,216.50 is: 527,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,564.50 : 239,216.50 = 239,216.50 : x
  2. Step 2: Convert to fraction form
    108,564.50/239,216.50 = 239,216.50/x
  3. Step 3: Cross multiply
    108,564.50x = 239,216.50 × 239,216.50
  4. Step 4: Simplify right side
    108,564.50x = 57,224,533,872.25
  5. Step 5: Solve for x
    x = 57,224,533,872.25/108,564.50
  6. Step 6: Final answer
    x = 527,101.71

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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.