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Finding the Third Proportional to 175,642 and 378,932

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Solution

The third proportional to 175,642 and 378,932 is: 817,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,642 : 378,932 = 378,932 : x
  2. Step 2: Convert to fraction form
    175,642/378,932 = 378,932/x
  3. Step 3: Cross multiply
    175,642x = 378,932 × 378,932
  4. Step 4: Simplify right side
    175,642x = 143,589,460,624
  5. Step 5: Solve for x
    x = 143,589,460,624/175,642
  6. Step 6: Final answer
    x = 817,512.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.