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Finding the Third Proportional to 175,164 and 271,742

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Solution

The third proportional to 175,164 and 271,742 is: 421,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,164 : 271,742 = 271,742 : x
  2. Step 2: Convert to fraction form
    175,164/271,742 = 271,742/x
  3. Step 3: Cross multiply
    175,164x = 271,742 × 271,742
  4. Step 4: Simplify right side
    175,164x = 73,843,714,564
  5. Step 5: Solve for x
    x = 73,843,714,564/175,164
  6. Step 6: Final answer
    x = 421,569.01

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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.