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Finding the Third Proportional to 175,066 and 270,374

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Solution

The third proportional to 175,066 and 270,374 is: 417,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,066 : 270,374 = 270,374 : x
  2. Step 2: Convert to fraction form
    175,066/270,374 = 270,374/x
  3. Step 3: Cross multiply
    175,066x = 270,374 × 270,374
  4. Step 4: Simplify right side
    175,066x = 73,102,099,876
  5. Step 5: Solve for x
    x = 73,102,099,876/175,066
  6. Step 6: Final answer
    x = 417,568.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.