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Finding the Third Proportional to 175,350 and 271,209

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Solution

The third proportional to 175,350 and 271,209 is: 419,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,350 : 271,209 = 271,209 : x
  2. Step 2: Convert to fraction form
    175,350/271,209 = 271,209/x
  3. Step 3: Cross multiply
    175,350x = 271,209 × 271,209
  4. Step 4: Simplify right side
    175,350x = 73,554,321,681
  5. Step 5: Solve for x
    x = 73,554,321,681/175,350
  6. Step 6: Final answer
    x = 419,471.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.