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Finding the Third Proportional to 220,252 and 334,991

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Solution

The third proportional to 220,252 and 334,991 is: 509,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,252 : 334,991 = 334,991 : x
  2. Step 2: Convert to fraction form
    220,252/334,991 = 334,991/x
  3. Step 3: Cross multiply
    220,252x = 334,991 × 334,991
  4. Step 4: Simplify right side
    220,252x = 112,218,970,081
  5. Step 5: Solve for x
    x = 112,218,970,081/220,252
  6. Step 6: Final answer
    x = 509,502.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.