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Finding the Third Proportional to 108,717.75 and 235,532.25

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Solution

The third proportional to 108,717.75 and 235,532.25 is: 510,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,717.75 : 235,532.25 = 235,532.25 : x
  2. Step 2: Convert to fraction form
    108,717.75/235,532.25 = 235,532.25/x
  3. Step 3: Cross multiply
    108,717.75x = 235,532.25 × 235,532.25
  4. Step 4: Simplify right side
    108,717.75x = 55,475,440,790.06
  5. Step 5: Solve for x
    x = 55,475,440,790.06/108,717.75
  6. Step 6: Final answer
    x = 510,270.32

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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.