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Finding the Third Proportional to 144,913.50 and 218,463.75

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Solution

The third proportional to 144,913.50 and 218,463.75 is: 329,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,913.50 : 218,463.75 = 218,463.75 : x
  2. Step 2: Convert to fraction form
    144,913.50/218,463.75 = 218,463.75/x
  3. Step 3: Cross multiply
    144,913.50x = 218,463.75 × 218,463.75
  4. Step 4: Simplify right side
    144,913.50x = 47,726,410,064.06
  5. Step 5: Solve for x
    x = 47,726,410,064.06/144,913.50
  6. Step 6: Final answer
    x = 329,344.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.