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Finding the Third Proportional to 120,225 and 256,536

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Solution

The third proportional to 120,225 and 256,536 is: 547,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,225 : 256,536 = 256,536 : x
  2. Step 2: Convert to fraction form
    120,225/256,536 = 256,536/x
  3. Step 3: Cross multiply
    120,225x = 256,536 × 256,536
  4. Step 4: Simplify right side
    120,225x = 65,810,719,296
  5. Step 5: Solve for x
    x = 65,810,719,296/120,225
  6. Step 6: Final answer
    x = 547,396.29

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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.