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Finding the Third Proportional to 174,869 and 256,564

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Solution

The third proportional to 174,869 and 256,564 is: 376,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,869 : 256,564 = 256,564 : x
  2. Step 2: Convert to fraction form
    174,869/256,564 = 256,564/x
  3. Step 3: Cross multiply
    174,869x = 256,564 × 256,564
  4. Step 4: Simplify right side
    174,869x = 65,825,086,096
  5. Step 5: Solve for x
    x = 65,825,086,096/174,869
  6. Step 6: Final answer
    x = 376,425.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.