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Finding the Third Proportional to 123,330 and 256,379

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Solution

The third proportional to 123,330 and 256,379 is: 532,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,330 : 256,379 = 256,379 : x
  2. Step 2: Convert to fraction form
    123,330/256,379 = 256,379/x
  3. Step 3: Cross multiply
    123,330x = 256,379 × 256,379
  4. Step 4: Simplify right side
    123,330x = 65,730,191,641
  5. Step 5: Solve for x
    x = 65,730,191,641/123,330
  6. Step 6: Final answer
    x = 532,961.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.