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Finding the Third Proportional to 123,840 and 271,412

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Solution

The third proportional to 123,840 and 271,412 is: 594,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,840 : 271,412 = 271,412 : x
  2. Step 2: Convert to fraction form
    123,840/271,412 = 271,412/x
  3. Step 3: Cross multiply
    123,840x = 271,412 × 271,412
  4. Step 4: Simplify right side
    123,840x = 73,664,473,744
  5. Step 5: Solve for x
    x = 73,664,473,744/123,840
  6. Step 6: Final answer
    x = 594,835.87

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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.