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Finding the Third Proportional to 174,207 and 381,610

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Solution

The third proportional to 174,207 and 381,610 is: 835,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,207 : 381,610 = 381,610 : x
  2. Step 2: Convert to fraction form
    174,207/381,610 = 381,610/x
  3. Step 3: Cross multiply
    174,207x = 381,610 × 381,610
  4. Step 4: Simplify right side
    174,207x = 145,626,192,100
  5. Step 5: Solve for x
    x = 145,626,192,100/174,207
  6. Step 6: Final answer
    x = 835,937.66

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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.