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Finding the Third Proportional to 144,747.84 and 318,944.25

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Solution

The third proportional to 144,747.84 and 318,944.25 is: 702,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,747.84 : 318,944.25 = 318,944.25 : x
  2. Step 2: Convert to fraction form
    144,747.84/318,944.25 = 318,944.25/x
  3. Step 3: Cross multiply
    144,747.84x = 318,944.25 × 318,944.25
  4. Step 4: Simplify right side
    144,747.84x = 101,725,434,608.06
  5. Step 5: Solve for x
    x = 101,725,434,608.06/144,747.84
  6. Step 6: Final answer
    x = 702,776.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.