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Finding the Third Proportional to 144,759 and 223,700.25

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Solution

The third proportional to 144,759 and 223,700.25 is: 345,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,759 : 223,700.25 = 223,700.25 : x
  2. Step 2: Convert to fraction form
    144,759/223,700.25 = 223,700.25/x
  3. Step 3: Cross multiply
    144,759x = 223,700.25 × 223,700.25
  4. Step 4: Simplify right side
    144,759x = 50,041,801,850.06
  5. Step 5: Solve for x
    x = 50,041,801,850.06/144,759
  6. Step 6: Final answer
    x = 345,690.44

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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.