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Finding the Third Proportional to 202,239 and 440,672

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Solution

The third proportional to 202,239 and 440,672 is: 960,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,239 : 440,672 = 440,672 : x
  2. Step 2: Convert to fraction form
    202,239/440,672 = 440,672/x
  3. Step 3: Cross multiply
    202,239x = 440,672 × 440,672
  4. Step 4: Simplify right side
    202,239x = 194,191,811,584
  5. Step 5: Solve for x
    x = 194,191,811,584/202,239
  6. Step 6: Final answer
    x = 960,209.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.