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Finding the Third Proportional to 155,286.75 and 332,718

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Solution

The third proportional to 155,286.75 and 332,718 is: 712,882.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,286.75 : 332,718 = 332,718 : x
  2. Step 2: Convert to fraction form
    155,286.75/332,718 = 332,718/x
  3. Step 3: Cross multiply
    155,286.75x = 332,718 × 332,718
  4. Step 4: Simplify right side
    155,286.75x = 110,701,267,524
  5. Step 5: Solve for x
    x = 110,701,267,524/155,286.75
  6. Step 6: Final answer
    x = 712,882.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.