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Finding the Third Proportional to 202,778 and 441,232

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Solution

The third proportional to 202,778 and 441,232 is: 960,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,778 : 441,232 = 441,232 : x
  2. Step 2: Convert to fraction form
    202,778/441,232 = 441,232/x
  3. Step 3: Cross multiply
    202,778x = 441,232 × 441,232
  4. Step 4: Simplify right side
    202,778x = 194,685,677,824
  5. Step 5: Solve for x
    x = 194,685,677,824/202,778
  6. Step 6: Final answer
    x = 960,092.70

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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.