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Finding the Third Proportional to 127,184 and 271,252

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Solution

The third proportional to 127,184 and 271,252 is: 578,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,184 : 271,252 = 271,252 : x
  2. Step 2: Convert to fraction form
    127,184/271,252 = 271,252/x
  3. Step 3: Cross multiply
    127,184x = 271,252 × 271,252
  4. Step 4: Simplify right side
    127,184x = 73,577,647,504
  5. Step 5: Solve for x
    x = 73,577,647,504/127,184
  6. Step 6: Final answer
    x = 578,513.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.