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Finding the Third Proportional to 172,034 and 378,052

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Solution

The third proportional to 172,034 and 378,052 is: 830,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,034 : 378,052 = 378,052 : x
  2. Step 2: Convert to fraction form
    172,034/378,052 = 378,052/x
  3. Step 3: Cross multiply
    172,034x = 378,052 × 378,052
  4. Step 4: Simplify right side
    172,034x = 142,923,314,704
  5. Step 5: Solve for x
    x = 142,923,314,704/172,034
  6. Step 6: Final answer
    x = 830,785.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.