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Finding the Third Proportional to 108,820.13 and 239,712.75

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Solution

The third proportional to 108,820.13 and 239,712.75 is: 528,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,820.13 : 239,712.75 = 239,712.75 : x
  2. Step 2: Convert to fraction form
    108,820.13/239,712.75 = 239,712.75/x
  3. Step 3: Cross multiply
    108,820.13x = 239,712.75 × 239,712.75
  4. Step 4: Simplify right side
    108,820.13x = 57,462,202,512.56
  5. Step 5: Solve for x
    x = 57,462,202,512.56/108,820.13
  6. Step 6: Final answer
    x = 528,047.57

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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.