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Finding the Third Proportional to 177,050 and 274,143

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Solution

The third proportional to 177,050 and 274,143 is: 424,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,050 : 274,143 = 274,143 : x
  2. Step 2: Convert to fraction form
    177,050/274,143 = 274,143/x
  3. Step 3: Cross multiply
    177,050x = 274,143 × 274,143
  4. Step 4: Simplify right side
    177,050x = 75,154,384,449
  5. Step 5: Solve for x
    x = 75,154,384,449/177,050
  6. Step 6: Final answer
    x = 424,481.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.