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Finding the Third Proportional to 155,373.75 and 338,424.75

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Solution

The third proportional to 155,373.75 and 338,424.75 is: 737,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,373.75 : 338,424.75 = 338,424.75 : x
  2. Step 2: Convert to fraction form
    155,373.75/338,424.75 = 338,424.75/x
  3. Step 3: Cross multiply
    155,373.75x = 338,424.75 × 338,424.75
  4. Step 4: Simplify right side
    155,373.75x = 114,531,311,412.56
  5. Step 5: Solve for x
    x = 114,531,311,412.56/155,373.75
  6. Step 6: Final answer
    x = 737,134.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.