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Finding the Third Proportional to 119,076.75 and 256,850.25

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Solution

The third proportional to 119,076.75 and 256,850.25 is: 554,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076.75 : 256,850.25 = 256,850.25 : x
  2. Step 2: Convert to fraction form
    119,076.75/256,850.25 = 256,850.25/x
  3. Step 3: Cross multiply
    119,076.75x = 256,850.25 × 256,850.25
  4. Step 4: Simplify right side
    119,076.75x = 65,972,050,925.06
  5. Step 5: Solve for x
    x = 65,972,050,925.06/119,076.75
  6. Step 6: Final answer
    x = 554,029.66

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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.