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Finding the Third Proportional to 109,494 and 236,078

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Solution

The third proportional to 109,494 and 236,078 is: 509,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,494 : 236,078 = 236,078 : x
  2. Step 2: Convert to fraction form
    109,494/236,078 = 236,078/x
  3. Step 3: Cross multiply
    109,494x = 236,078 × 236,078
  4. Step 4: Simplify right side
    109,494x = 55,732,822,084
  5. Step 5: Solve for x
    x = 55,732,822,084/109,494
  6. Step 6: Final answer
    x = 509,003.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.