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Finding the Third Proportional to 108,888.75 and 234,463.50

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Solution

The third proportional to 108,888.75 and 234,463.50 is: 504,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,888.75 : 234,463.50 = 234,463.50 : x
  2. Step 2: Convert to fraction form
    108,888.75/234,463.50 = 234,463.50/x
  3. Step 3: Cross multiply
    108,888.75x = 234,463.50 × 234,463.50
  4. Step 4: Simplify right side
    108,888.75x = 54,973,132,832.25
  5. Step 5: Solve for x
    x = 54,973,132,832.25/108,888.75
  6. Step 6: Final answer
    x = 504,855.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.