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Finding the Third Proportional to 118,594 and 256,868

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Solution

The third proportional to 118,594 and 256,868 is: 556,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,594 : 256,868 = 256,868 : x
  2. Step 2: Convert to fraction form
    118,594/256,868 = 256,868/x
  3. Step 3: Cross multiply
    118,594x = 256,868 × 256,868
  4. Step 4: Simplify right side
    118,594x = 65,981,169,424
  5. Step 5: Solve for x
    x = 65,981,169,424/118,594
  6. Step 6: Final answer
    x = 556,361.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.