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Finding the Third Proportional to 123,818 and 271,371

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Solution

The third proportional to 123,818 and 271,371 is: 594,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,818 : 271,371 = 271,371 : x
  2. Step 2: Convert to fraction form
    123,818/271,371 = 271,371/x
  3. Step 3: Cross multiply
    123,818x = 271,371 × 271,371
  4. Step 4: Simplify right side
    123,818x = 73,642,219,641
  5. Step 5: Solve for x
    x = 73,642,219,641/123,818
  6. Step 6: Final answer
    x = 594,761.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.