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Finding the Third Proportional to 174,760 and 382,228

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Solution

The third proportional to 174,760 and 382,228 is: 835,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,760 : 382,228 = 382,228 : x
  2. Step 2: Convert to fraction form
    174,760/382,228 = 382,228/x
  3. Step 3: Cross multiply
    174,760x = 382,228 × 382,228
  4. Step 4: Simplify right side
    174,760x = 146,098,243,984
  5. Step 5: Solve for x
    x = 146,098,243,984/174,760
  6. Step 6: Final answer
    x = 835,993.61

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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.