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Finding the Third Proportional to 179,154.75 and 271,048.13

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Solution

The third proportional to 179,154.75 and 271,048.13 is: 410,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,154.75 : 271,048.13 = 271,048.13 : x
  2. Step 2: Convert to fraction form
    179,154.75/271,048.13 = 271,048.13/x
  3. Step 3: Cross multiply
    179,154.75x = 271,048.13 × 271,048.13
  4. Step 4: Simplify right side
    179,154.75x = 73,467,086,066.02
  5. Step 5: Solve for x
    x = 73,467,086,066.02/179,154.75
  6. Step 6: Final answer
    x = 410,076.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.