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Finding the Third Proportional to 178,524 and 253,800

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Solution

The third proportional to 178,524 and 253,800 is: 360,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,524 : 253,800 = 253,800 : x
  2. Step 2: Convert to fraction form
    178,524/253,800 = 253,800/x
  3. Step 3: Cross multiply
    178,524x = 253,800 × 253,800
  4. Step 4: Simplify right side
    178,524x = 64,414,440,000
  5. Step 5: Solve for x
    x = 64,414,440,000/178,524
  6. Step 6: Final answer
    x = 360,816.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.