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Finding the Third Proportional to 107,649 and 251,436.66

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Solution

The third proportional to 107,649 and 251,436.66 is: 587,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,649 : 251,436.66 = 251,436.66 : x
  2. Step 2: Convert to fraction form
    107,649/251,436.66 = 251,436.66/x
  3. Step 3: Cross multiply
    107,649x = 251,436.66 × 251,436.66
  4. Step 4: Simplify right side
    107,649x = 63,220,392,106.18
  5. Step 5: Solve for x
    x = 63,220,392,106.18/107,649
  6. Step 6: Final answer
    x = 587,282.67

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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.