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Finding the Third Proportional to 107,443 and 236,330

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Solution

The third proportional to 107,443 and 236,330 is: 519,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,443 : 236,330 = 236,330 : x
  2. Step 2: Convert to fraction form
    107,443/236,330 = 236,330/x
  3. Step 3: Cross multiply
    107,443x = 236,330 × 236,330
  4. Step 4: Simplify right side
    107,443x = 55,851,868,900
  5. Step 5: Solve for x
    x = 55,851,868,900/107,443
  6. Step 6: Final answer
    x = 519,827.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.