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Finding the Third Proportional to 174,962 and 381,514

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Solution

The third proportional to 174,962 and 381,514 is: 831,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,962 : 381,514 = 381,514 : x
  2. Step 2: Convert to fraction form
    174,962/381,514 = 381,514/x
  3. Step 3: Cross multiply
    174,962x = 381,514 × 381,514
  4. Step 4: Simplify right side
    174,962x = 145,552,932,196
  5. Step 5: Solve for x
    x = 145,552,932,196/174,962
  6. Step 6: Final answer
    x = 831,911.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.