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Finding the Third Proportional to 236,492 and 367,193

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Solution

The third proportional to 236,492 and 367,193 is: 570,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,492 : 367,193 = 367,193 : x
  2. Step 2: Convert to fraction form
    236,492/367,193 = 367,193/x
  3. Step 3: Cross multiply
    236,492x = 367,193 × 367,193
  4. Step 4: Simplify right side
    236,492x = 134,830,699,249
  5. Step 5: Solve for x
    x = 134,830,699,249/236,492
  6. Step 6: Final answer
    x = 570,127.95

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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.