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Finding the Third Proportional to 119,092.88 and 256,887.38

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Solution

The third proportional to 119,092.88 and 256,887.38 is: 554,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,092.88 : 256,887.38 = 256,887.38 : x
  2. Step 2: Convert to fraction form
    119,092.88/256,887.38 = 256,887.38/x
  3. Step 3: Cross multiply
    119,092.88x = 256,887.38 × 256,887.38
  4. Step 4: Simplify right side
    119,092.88x = 65,991,123,434.39
  5. Step 5: Solve for x
    x = 65,991,123,434.39/119,092.88
  6. Step 6: Final answer
    x = 554,114.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.