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Finding the Third Proportional to 177,902 and 274,710

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Solution

The third proportional to 177,902 and 274,710 is: 424,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,902 : 274,710 = 274,710 : x
  2. Step 2: Convert to fraction form
    177,902/274,710 = 274,710/x
  3. Step 3: Cross multiply
    177,902x = 274,710 × 274,710
  4. Step 4: Simplify right side
    177,902x = 75,465,584,100
  5. Step 5: Solve for x
    x = 75,465,584,100/177,902
  6. Step 6: Final answer
    x = 424,197.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.