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Finding the Third Proportional to 212,920 and 334,008

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Solution

The third proportional to 212,920 and 334,008 is: 523,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,920 : 334,008 = 334,008 : x
  2. Step 2: Convert to fraction form
    212,920/334,008 = 334,008/x
  3. Step 3: Cross multiply
    212,920x = 334,008 × 334,008
  4. Step 4: Simplify right side
    212,920x = 111,561,344,064
  5. Step 5: Solve for x
    x = 111,561,344,064/212,920
  6. Step 6: Final answer
    x = 523,958.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.