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Finding the Third Proportional to 100,917 and 237,889.50

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Solution

The third proportional to 100,917 and 237,889.50 is: 560,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,917 : 237,889.50 = 237,889.50 : x
  2. Step 2: Convert to fraction form
    100,917/237,889.50 = 237,889.50/x
  3. Step 3: Cross multiply
    100,917x = 237,889.50 × 237,889.50
  4. Step 4: Simplify right side
    100,917x = 56,591,414,210.25
  5. Step 5: Solve for x
    x = 56,591,414,210.25/100,917
  6. Step 6: Final answer
    x = 560,771.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.