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Finding the Third Proportional to 211,640 and 282,144

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Solution

The third proportional to 211,640 and 282,144 is: 376,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,640 : 282,144 = 282,144 : x
  2. Step 2: Convert to fraction form
    211,640/282,144 = 282,144/x
  3. Step 3: Cross multiply
    211,640x = 282,144 × 282,144
  4. Step 4: Simplify right side
    211,640x = 79,605,236,736
  5. Step 5: Solve for x
    x = 79,605,236,736/211,640
  6. Step 6: Final answer
    x = 376,135.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.