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Finding the Third Proportional to 155,767 and 241,912

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Solution

The third proportional to 155,767 and 241,912 is: 375,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,767 : 241,912 = 241,912 : x
  2. Step 2: Convert to fraction form
    155,767/241,912 = 241,912/x
  3. Step 3: Cross multiply
    155,767x = 241,912 × 241,912
  4. Step 4: Simplify right side
    155,767x = 58,521,415,744
  5. Step 5: Solve for x
    x = 58,521,415,744/155,767
  6. Step 6: Final answer
    x = 375,698.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.