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Finding the Third Proportional to 168,649 and 252,061.50

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Solution

The third proportional to 168,649 and 252,061.50 is: 376,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,649 : 252,061.50 = 252,061.50 : x
  2. Step 2: Convert to fraction form
    168,649/252,061.50 = 252,061.50/x
  3. Step 3: Cross multiply
    168,649x = 252,061.50 × 252,061.50
  4. Step 4: Simplify right side
    168,649x = 63,534,999,782.25
  5. Step 5: Solve for x
    x = 63,534,999,782.25/168,649
  6. Step 6: Final answer
    x = 376,729.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.