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Finding the Third Proportional to 234,531 and 363,381

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Solution

The third proportional to 234,531 and 363,381 is: 563,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,531 : 363,381 = 363,381 : x
  2. Step 2: Convert to fraction form
    234,531/363,381 = 363,381/x
  3. Step 3: Cross multiply
    234,531x = 363,381 × 363,381
  4. Step 4: Simplify right side
    234,531x = 132,045,751,161
  5. Step 5: Solve for x
    x = 132,045,751,161/234,531
  6. Step 6: Final answer
    x = 563,020.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.