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Finding the Third Proportional to 144,149.63 and 315,454.50

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Solution

The third proportional to 144,149.63 and 315,454.50 is: 690,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,149.63 : 315,454.50 = 315,454.50 : x
  2. Step 2: Convert to fraction form
    144,149.63/315,454.50 = 315,454.50/x
  3. Step 3: Cross multiply
    144,149.63x = 315,454.50 × 315,454.50
  4. Step 4: Simplify right side
    144,149.63x = 99,511,541,570.25
  5. Step 5: Solve for x
    x = 99,511,541,570.25/144,149.63
  6. Step 6: Final answer
    x = 690,335.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.