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Finding the Third Proportional to 110,639.50 and 235,757

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Solution

The third proportional to 110,639.50 and 235,757 is: 502,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,639.50 : 235,757 = 235,757 : x
  2. Step 2: Convert to fraction form
    110,639.50/235,757 = 235,757/x
  3. Step 3: Cross multiply
    110,639.50x = 235,757 × 235,757
  4. Step 4: Simplify right side
    110,639.50x = 55,581,363,049
  5. Step 5: Solve for x
    x = 55,581,363,049/110,639.50
  6. Step 6: Final answer
    x = 502,364.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.