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Finding the Third Proportional to 108,447.75 and 234,996.75

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Solution

The third proportional to 108,447.75 and 234,996.75 is: 509,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,447.75 : 234,996.75 = 234,996.75 : x
  2. Step 2: Convert to fraction form
    108,447.75/234,996.75 = 234,996.75/x
  3. Step 3: Cross multiply
    108,447.75x = 234,996.75 × 234,996.75
  4. Step 4: Simplify right side
    108,447.75x = 55,223,472,510.56
  5. Step 5: Solve for x
    x = 55,223,472,510.56/108,447.75
  6. Step 6: Final answer
    x = 509,217.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.