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Finding the Third Proportional to 213,868 and 331,116

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Solution

The third proportional to 213,868 and 331,116 is: 512,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,868 : 331,116 = 331,116 : x
  2. Step 2: Convert to fraction form
    213,868/331,116 = 331,116/x
  3. Step 3: Cross multiply
    213,868x = 331,116 × 331,116
  4. Step 4: Simplify right side
    213,868x = 109,637,805,456
  5. Step 5: Solve for x
    x = 109,637,805,456/213,868
  6. Step 6: Final answer
    x = 512,642.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.