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Finding the Third Proportional to 211,611 and 310,651

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Solution

The third proportional to 211,611 and 310,651 is: 456,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,611 : 310,651 = 310,651 : x
  2. Step 2: Convert to fraction form
    211,611/310,651 = 310,651/x
  3. Step 3: Cross multiply
    211,611x = 310,651 × 310,651
  4. Step 4: Simplify right side
    211,611x = 96,504,043,801
  5. Step 5: Solve for x
    x = 96,504,043,801/211,611
  6. Step 6: Final answer
    x = 456,044.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.