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Finding the Third Proportional to 232,767 and 361,860.75

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Solution

The third proportional to 232,767 and 361,860.75 is: 562,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,767 : 361,860.75 = 361,860.75 : x
  2. Step 2: Convert to fraction form
    232,767/361,860.75 = 361,860.75/x
  3. Step 3: Cross multiply
    232,767x = 361,860.75 × 361,860.75
  4. Step 4: Simplify right side
    232,767x = 130,943,202,390.56
  5. Step 5: Solve for x
    x = 130,943,202,390.56/232,767
  6. Step 6: Final answer
    x = 562,550.54

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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.