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Finding the Third Proportional to 177,038 and 270,718

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Solution

The third proportional to 177,038 and 270,718 is: 413,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,038 : 270,718 = 270,718 : x
  2. Step 2: Convert to fraction form
    177,038/270,718 = 270,718/x
  3. Step 3: Cross multiply
    177,038x = 270,718 × 270,718
  4. Step 4: Simplify right side
    177,038x = 73,288,235,524
  5. Step 5: Solve for x
    x = 73,288,235,524/177,038
  6. Step 6: Final answer
    x = 413,968.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.