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Finding the Third Proportional to 237,198 and 521,052

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Solution

The third proportional to 237,198 and 521,052 is: 1,144,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,198 : 521,052 = 521,052 : x
  2. Step 2: Convert to fraction form
    237,198/521,052 = 521,052/x
  3. Step 3: Cross multiply
    237,198x = 521,052 × 521,052
  4. Step 4: Simplify right side
    237,198x = 271,495,186,704
  5. Step 5: Solve for x
    x = 271,495,186,704/237,198
  6. Step 6: Final answer
    x = 1,144,593.07

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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.