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Finding the Third Proportional to 256,239 and 398,118

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Solution

The third proportional to 256,239 and 398,118 is: 618,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,239 : 398,118 = 398,118 : x
  2. Step 2: Convert to fraction form
    256,239/398,118 = 398,118/x
  3. Step 3: Cross multiply
    256,239x = 398,118 × 398,118
  4. Step 4: Simplify right side
    256,239x = 158,497,941,924
  5. Step 5: Solve for x
    x = 158,497,941,924/256,239
  6. Step 6: Final answer
    x = 618,555.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.