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Finding the Third Proportional to 119,812 and 255,644

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Solution

The third proportional to 119,812 and 255,644 is: 545,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,812 : 255,644 = 255,644 : x
  2. Step 2: Convert to fraction form
    119,812/255,644 = 255,644/x
  3. Step 3: Cross multiply
    119,812x = 255,644 × 255,644
  4. Step 4: Simplify right side
    119,812x = 65,353,854,736
  5. Step 5: Solve for x
    x = 65,353,854,736/119,812
  6. Step 6: Final answer
    x = 545,470.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.