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Finding the Third Proportional to 177,033 and 270,711

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Solution

The third proportional to 177,033 and 270,711 is: 413,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,033 : 270,711 = 270,711 : x
  2. Step 2: Convert to fraction form
    177,033/270,711 = 270,711/x
  3. Step 3: Cross multiply
    177,033x = 270,711 × 270,711
  4. Step 4: Simplify right side
    177,033x = 73,284,445,521
  5. Step 5: Solve for x
    x = 73,284,445,521/177,033
  6. Step 6: Final answer
    x = 413,959.24

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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.