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Finding the Third Proportional to 119,105 and 255,484

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Solution

The third proportional to 119,105 and 255,484 is: 548,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,105 : 255,484 = 255,484 : x
  2. Step 2: Convert to fraction form
    119,105/255,484 = 255,484/x
  3. Step 3: Cross multiply
    119,105x = 255,484 × 255,484
  4. Step 4: Simplify right side
    119,105x = 65,272,074,256
  5. Step 5: Solve for x
    x = 65,272,074,256/119,105
  6. Step 6: Final answer
    x = 548,021.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.