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Finding the Third Proportional to 177,396 and 383,223

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Solution

The third proportional to 177,396 and 383,223 is: 827,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,396 : 383,223 = 383,223 : x
  2. Step 2: Convert to fraction form
    177,396/383,223 = 383,223/x
  3. Step 3: Cross multiply
    177,396x = 383,223 × 383,223
  4. Step 4: Simplify right side
    177,396x = 146,859,867,729
  5. Step 5: Solve for x
    x = 146,859,867,729/177,396
  6. Step 6: Final answer
    x = 827,864.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.