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Finding the Third Proportional to 169,664 and 254,392

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Solution

The third proportional to 169,664 and 254,392 is: 381,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,664 : 254,392 = 254,392 : x
  2. Step 2: Convert to fraction form
    169,664/254,392 = 254,392/x
  3. Step 3: Cross multiply
    169,664x = 254,392 × 254,392
  4. Step 4: Simplify right side
    169,664x = 64,715,289,664
  5. Step 5: Solve for x
    x = 64,715,289,664/169,664
  6. Step 6: Final answer
    x = 381,432.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.