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Finding the Third Proportional to 174,206 and 381,613

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Solution

The third proportional to 174,206 and 381,613 is: 835,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,206 : 381,613 = 381,613 : x
  2. Step 2: Convert to fraction form
    174,206/381,613 = 381,613/x
  3. Step 3: Cross multiply
    174,206x = 381,613 × 381,613
  4. Step 4: Simplify right side
    174,206x = 145,628,481,769
  5. Step 5: Solve for x
    x = 145,628,481,769/174,206
  6. Step 6: Final answer
    x = 835,955.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.