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Finding the Third Proportional to 171,244.13 and 271,144.13

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Solution

The third proportional to 171,244.13 and 271,144.13 is: 429,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,244.13 : 271,144.13 = 271,144.13 : x
  2. Step 2: Convert to fraction form
    171,244.13/271,144.13 = 271,144.13/x
  3. Step 3: Cross multiply
    171,244.13x = 271,144.13 × 271,144.13
  4. Step 4: Simplify right side
    171,244.13x = 73,519,136,522.02
  5. Step 5: Solve for x
    x = 73,519,136,522.02/171,244.13
  6. Step 6: Final answer
    x = 429,323.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.