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Finding the Third Proportional to 166,649 and 369,331.50

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Solution

The third proportional to 166,649 and 369,331.50 is: 818,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,649 : 369,331.50 = 369,331.50 : x
  2. Step 2: Convert to fraction form
    166,649/369,331.50 = 369,331.50/x
  3. Step 3: Cross multiply
    166,649x = 369,331.50 × 369,331.50
  4. Step 4: Simplify right side
    166,649x = 136,405,756,892.25
  5. Step 5: Solve for x
    x = 136,405,756,892.25/166,649
  6. Step 6: Final answer
    x = 818,521.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.