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Finding the Third Proportional to 235,093.50 and 516,837

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Solution

The third proportional to 235,093.50 and 516,837 is: 1,136,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,093.50 : 516,837 = 516,837 : x
  2. Step 2: Convert to fraction form
    235,093.50/516,837 = 516,837/x
  3. Step 3: Cross multiply
    235,093.50x = 516,837 × 516,837
  4. Step 4: Simplify right side
    235,093.50x = 267,120,484,569
  5. Step 5: Solve for x
    x = 267,120,484,569/235,093.50
  6. Step 6: Final answer
    x = 1,136,230.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.