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Finding the Third Proportional to 144,570.75 and 313,273.88

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Solution

The third proportional to 144,570.75 and 313,273.88 is: 678,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,570.75 : 313,273.88 = 313,273.88 : x
  2. Step 2: Convert to fraction form
    144,570.75/313,273.88 = 313,273.88/x
  3. Step 3: Cross multiply
    144,570.75x = 313,273.88 × 313,273.88
  4. Step 4: Simplify right side
    144,570.75x = 98,140,520,757.52
  5. Step 5: Solve for x
    x = 98,140,520,757.52/144,570.75
  6. Step 6: Final answer
    x = 678,840.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.