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Finding the Third Proportional to 177,702 and 281,334

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Solution

The third proportional to 177,702 and 281,334 is: 445,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,702 : 281,334 = 281,334 : x
  2. Step 2: Convert to fraction form
    177,702/281,334 = 281,334/x
  3. Step 3: Cross multiply
    177,702x = 281,334 × 281,334
  4. Step 4: Simplify right side
    177,702x = 79,148,819,556
  5. Step 5: Solve for x
    x = 79,148,819,556/177,702
  6. Step 6: Final answer
    x = 445,401.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.