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Finding the Third Proportional to 115,114 and 271,357

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Solution

The third proportional to 115,114 and 271,357 is: 639,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114 : 271,357 = 271,357 : x
  2. Step 2: Convert to fraction form
    115,114/271,357 = 271,357/x
  3. Step 3: Cross multiply
    115,114x = 271,357 × 271,357
  4. Step 4: Simplify right side
    115,114x = 73,634,621,449
  5. Step 5: Solve for x
    x = 73,634,621,449/115,114
  6. Step 6: Final answer
    x = 639,666.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.