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Finding the Third Proportional to 162,649 and 246,241.50

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Solution

The third proportional to 162,649 and 246,241.50 is: 372,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,649 : 246,241.50 = 246,241.50 : x
  2. Step 2: Convert to fraction form
    162,649/246,241.50 = 246,241.50/x
  3. Step 3: Cross multiply
    162,649x = 246,241.50 × 246,241.50
  4. Step 4: Simplify right side
    162,649x = 60,634,876,322.25
  5. Step 5: Solve for x
    x = 60,634,876,322.25/162,649
  6. Step 6: Final answer
    x = 372,795.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.