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Finding the Third Proportional to 169,533 and 256,482

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Solution

The third proportional to 169,533 and 256,482 is: 388,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,533 : 256,482 = 256,482 : x
  2. Step 2: Convert to fraction form
    169,533/256,482 = 256,482/x
  3. Step 3: Cross multiply
    169,533x = 256,482 × 256,482
  4. Step 4: Simplify right side
    169,533x = 65,783,016,324
  5. Step 5: Solve for x
    x = 65,783,016,324/169,533
  6. Step 6: Final answer
    x = 388,024.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.