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Finding the Third Proportional to 120,377 and 256,306

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Solution

The third proportional to 120,377 and 256,306 is: 545,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,377 : 256,306 = 256,306 : x
  2. Step 2: Convert to fraction form
    120,377/256,306 = 256,306/x
  3. Step 3: Cross multiply
    120,377x = 256,306 × 256,306
  4. Step 4: Simplify right side
    120,377x = 65,692,765,636
  5. Step 5: Solve for x
    x = 65,692,765,636/120,377
  6. Step 6: Final answer
    x = 545,725.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.