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Finding the Third Proportional to 211,860 and 296,922

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Solution

The third proportional to 211,860 and 296,922 is: 416,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,860 : 296,922 = 296,922 : x
  2. Step 2: Convert to fraction form
    211,860/296,922 = 296,922/x
  3. Step 3: Cross multiply
    211,860x = 296,922 × 296,922
  4. Step 4: Simplify right side
    211,860x = 88,162,674,084
  5. Step 5: Solve for x
    x = 88,162,674,084/211,860
  6. Step 6: Final answer
    x = 416,136.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.