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Finding the Third Proportional to 175,420 and 271,514

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Solution

The third proportional to 175,420 and 271,514 is: 420,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,420 : 271,514 = 271,514 : x
  2. Step 2: Convert to fraction form
    175,420/271,514 = 271,514/x
  3. Step 3: Cross multiply
    175,420x = 271,514 × 271,514
  4. Step 4: Simplify right side
    175,420x = 73,719,852,196
  5. Step 5: Solve for x
    x = 73,719,852,196/175,420
  6. Step 6: Final answer
    x = 420,247.70

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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.