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Finding the Third Proportional to 185,918 and 381,724

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Solution

The third proportional to 185,918 and 381,724 is: 783,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,918 : 381,724 = 381,724 : x
  2. Step 2: Convert to fraction form
    185,918/381,724 = 381,724/x
  3. Step 3: Cross multiply
    185,918x = 381,724 × 381,724
  4. Step 4: Simplify right side
    185,918x = 145,713,212,176
  5. Step 5: Solve for x
    x = 145,713,212,176/185,918
  6. Step 6: Final answer
    x = 783,749.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.