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Finding the Third Proportional to 169,538 and 256,490

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Solution

The third proportional to 169,538 and 256,490 is: 388,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,538 : 256,490 = 256,490 : x
  2. Step 2: Convert to fraction form
    169,538/256,490 = 256,490/x
  3. Step 3: Cross multiply
    169,538x = 256,490 × 256,490
  4. Step 4: Simplify right side
    169,538x = 65,787,120,100
  5. Step 5: Solve for x
    x = 65,787,120,100/169,538
  6. Step 6: Final answer
    x = 388,037.61

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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.