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Finding the Third Proportional to 211,690 and 291,615

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Solution

The third proportional to 211,690 and 291,615 is: 401,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,690 : 291,615 = 291,615 : x
  2. Step 2: Convert to fraction form
    211,690/291,615 = 291,615/x
  3. Step 3: Cross multiply
    211,690x = 291,615 × 291,615
  4. Step 4: Simplify right side
    211,690x = 85,039,308,225
  5. Step 5: Solve for x
    x = 85,039,308,225/211,690
  6. Step 6: Final answer
    x = 401,716.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.