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Finding the Third Proportional to 119,589 and 256,350

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Solution

The third proportional to 119,589 and 256,350 is: 549,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589 : 256,350 = 256,350 : x
  2. Step 2: Convert to fraction form
    119,589/256,350 = 256,350/x
  3. Step 3: Cross multiply
    119,589x = 256,350 × 256,350
  4. Step 4: Simplify right side
    119,589x = 65,715,322,500
  5. Step 5: Solve for x
    x = 65,715,322,500/119,589
  6. Step 6: Final answer
    x = 549,509.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.