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Finding the Third Proportional to 144,077.63 and 231,493.50

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Solution

The third proportional to 144,077.63 and 231,493.50 is: 371,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,077.63 : 231,493.50 = 231,493.50 : x
  2. Step 2: Convert to fraction form
    144,077.63/231,493.50 = 231,493.50/x
  3. Step 3: Cross multiply
    144,077.63x = 231,493.50 × 231,493.50
  4. Step 4: Simplify right side
    144,077.63x = 53,589,240,542.25
  5. Step 5: Solve for x
    x = 53,589,240,542.25/144,077.63
  6. Step 6: Final answer
    x = 371,947.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.