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Finding the Third Proportional to 153,934 and 324,544

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Solution

The third proportional to 153,934 and 324,544 is: 684,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,934 : 324,544 = 324,544 : x
  2. Step 2: Convert to fraction form
    153,934/324,544 = 324,544/x
  3. Step 3: Cross multiply
    153,934x = 324,544 × 324,544
  4. Step 4: Simplify right side
    153,934x = 105,328,807,936
  5. Step 5: Solve for x
    x = 105,328,807,936/153,934
  6. Step 6: Final answer
    x = 684,246.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.