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Finding the Third Proportional to 140,949 and 218,389.50

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Solution

The third proportional to 140,949 and 218,389.50 is: 338,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,949 : 218,389.50 = 218,389.50 : x
  2. Step 2: Convert to fraction form
    140,949/218,389.50 = 218,389.50/x
  3. Step 3: Cross multiply
    140,949x = 218,389.50 × 218,389.50
  4. Step 4: Simplify right side
    140,949x = 47,693,973,710.25
  5. Step 5: Solve for x
    x = 47,693,973,710.25/140,949
  6. Step 6: Final answer
    x = 338,377.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.