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Finding the Third Proportional to 155,544 and 338,742

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Solution

The third proportional to 155,544 and 338,742 is: 737,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,544 : 338,742 = 338,742 : x
  2. Step 2: Convert to fraction form
    155,544/338,742 = 338,742/x
  3. Step 3: Cross multiply
    155,544x = 338,742 × 338,742
  4. Step 4: Simplify right side
    155,544x = 114,746,142,564
  5. Step 5: Solve for x
    x = 114,746,142,564/155,544
  6. Step 6: Final answer
    x = 737,708.57

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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.