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Finding the Third Proportional to 175,470 and 274,977

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Solution

The third proportional to 175,470 and 274,977 is: 430,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,470 : 274,977 = 274,977 : x
  2. Step 2: Convert to fraction form
    175,470/274,977 = 274,977/x
  3. Step 3: Cross multiply
    175,470x = 274,977 × 274,977
  4. Step 4: Simplify right side
    175,470x = 75,612,350,529
  5. Step 5: Solve for x
    x = 75,612,350,529/175,470
  6. Step 6: Final answer
    x = 430,913.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.