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Finding the Third Proportional to 236,972 and 366,913

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Solution

The third proportional to 236,972 and 366,913 is: 568,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,972 : 366,913 = 366,913 : x
  2. Step 2: Convert to fraction form
    236,972/366,913 = 366,913/x
  3. Step 3: Cross multiply
    236,972x = 366,913 × 366,913
  4. Step 4: Simplify right side
    236,972x = 134,625,149,569
  5. Step 5: Solve for x
    x = 134,625,149,569/236,972
  6. Step 6: Final answer
    x = 568,105.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.