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Finding the Third Proportional to 107,721 and 251,617.50

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Solution

The third proportional to 107,721 and 251,617.50 is: 587,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,721 : 251,617.50 = 251,617.50 : x
  2. Step 2: Convert to fraction form
    107,721/251,617.50 = 251,617.50/x
  3. Step 3: Cross multiply
    107,721x = 251,617.50 × 251,617.50
  4. Step 4: Simplify right side
    107,721x = 63,311,366,306.25
  5. Step 5: Solve for x
    x = 63,311,366,306.25/107,721
  6. Step 6: Final answer
    x = 587,734.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.