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Finding the Third Proportional to 109,343 and 236,821

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Solution

The third proportional to 109,343 and 236,821 is: 512,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,343 : 236,821 = 236,821 : x
  2. Step 2: Convert to fraction form
    109,343/236,821 = 236,821/x
  3. Step 3: Cross multiply
    109,343x = 236,821 × 236,821
  4. Step 4: Simplify right side
    109,343x = 56,084,186,041
  5. Step 5: Solve for x
    x = 56,084,186,041/109,343
  6. Step 6: Final answer
    x = 512,919.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.