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Finding the Third Proportional to 177,442 and 268,012

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Solution

The third proportional to 177,442 and 268,012 is: 404,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,442 : 268,012 = 268,012 : x
  2. Step 2: Convert to fraction form
    177,442/268,012 = 268,012/x
  3. Step 3: Cross multiply
    177,442x = 268,012 × 268,012
  4. Step 4: Simplify right side
    177,442x = 71,830,432,144
  5. Step 5: Solve for x
    x = 71,830,432,144/177,442
  6. Step 6: Final answer
    x = 404,810.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.