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Finding the Third Proportional to 211,612 and 287,071

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Solution

The third proportional to 211,612 and 287,071 is: 389,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,612 : 287,071 = 287,071 : x
  2. Step 2: Convert to fraction form
    211,612/287,071 = 287,071/x
  3. Step 3: Cross multiply
    211,612x = 287,071 × 287,071
  4. Step 4: Simplify right side
    211,612x = 82,409,759,041
  5. Step 5: Solve for x
    x = 82,409,759,041/211,612
  6. Step 6: Final answer
    x = 389,438.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.