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Finding the Third Proportional to 115,132 and 271,395

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Solution

The third proportional to 115,132 and 271,395 is: 639,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,132 : 271,395 = 271,395 : x
  2. Step 2: Convert to fraction form
    115,132/271,395 = 271,395/x
  3. Step 3: Cross multiply
    115,132x = 271,395 × 271,395
  4. Step 4: Simplify right side
    115,132x = 73,655,246,025
  5. Step 5: Solve for x
    x = 73,655,246,025/115,132
  6. Step 6: Final answer
    x = 639,746.08

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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.