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Finding the Third Proportional to 108,557.50 and 235,682.75

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Solution

The third proportional to 108,557.50 and 235,682.75 is: 511,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,557.50 : 235,682.75 = 235,682.75 : x
  2. Step 2: Convert to fraction form
    108,557.50/235,682.75 = 235,682.75/x
  3. Step 3: Cross multiply
    108,557.50x = 235,682.75 × 235,682.75
  4. Step 4: Simplify right side
    108,557.50x = 55,546,358,647.56
  5. Step 5: Solve for x
    x = 55,546,358,647.56/108,557.50
  6. Step 6: Final answer
    x = 511,676.84

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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.