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Finding the Third Proportional to 174,996 and 271,482

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Solution

The third proportional to 174,996 and 271,482 is: 421,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,996 : 271,482 = 271,482 : x
  2. Step 2: Convert to fraction form
    174,996/271,482 = 271,482/x
  3. Step 3: Cross multiply
    174,996x = 271,482 × 271,482
  4. Step 4: Simplify right side
    174,996x = 73,702,476,324
  5. Step 5: Solve for x
    x = 73,702,476,324/174,996
  6. Step 6: Final answer
    x = 421,166.63

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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.