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Finding the Third Proportional to 144,351 and 226,759.50

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Solution

The third proportional to 144,351 and 226,759.50 is: 356,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351 : 226,759.50 = 226,759.50 : x
  2. Step 2: Convert to fraction form
    144,351/226,759.50 = 226,759.50/x
  3. Step 3: Cross multiply
    144,351x = 226,759.50 × 226,759.50
  4. Step 4: Simplify right side
    144,351x = 51,419,870,840.25
  5. Step 5: Solve for x
    x = 51,419,870,840.25/144,351
  6. Step 6: Final answer
    x = 356,214.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.