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Finding the Third Proportional to 211,605 and 287,061

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Solution

The third proportional to 211,605 and 287,061 is: 389,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,605 : 287,061 = 287,061 : x
  2. Step 2: Convert to fraction form
    211,605/287,061 = 287,061/x
  3. Step 3: Cross multiply
    211,605x = 287,061 × 287,061
  4. Step 4: Simplify right side
    211,605x = 82,404,017,721
  5. Step 5: Solve for x
    x = 82,404,017,721/211,605
  6. Step 6: Final answer
    x = 389,423.77

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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.