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Finding the Third Proportional to 119,076.75 and 256,851

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Solution

The third proportional to 119,076.75 and 256,851 is: 554,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076.75 : 256,851 = 256,851 : x
  2. Step 2: Convert to fraction form
    119,076.75/256,851 = 256,851/x
  3. Step 3: Cross multiply
    119,076.75x = 256,851 × 256,851
  4. Step 4: Simplify right side
    119,076.75x = 65,972,436,201
  5. Step 5: Solve for x
    x = 65,972,436,201/119,076.75
  6. Step 6: Final answer
    x = 554,032.89

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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.