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Finding the Third Proportional to 175,230 and 274,524

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Solution

The third proportional to 175,230 and 274,524 is: 430,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,230 : 274,524 = 274,524 : x
  2. Step 2: Convert to fraction form
    175,230/274,524 = 274,524/x
  3. Step 3: Cross multiply
    175,230x = 274,524 × 274,524
  4. Step 4: Simplify right side
    175,230x = 75,363,426,576
  5. Step 5: Solve for x
    x = 75,363,426,576/175,230
  6. Step 6: Final answer
    x = 430,082.90

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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.