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Finding the Third Proportional to 175,370.06 and 378,761.06

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Solution

The third proportional to 175,370.06 and 378,761.06 is: 818,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,370.06 : 378,761.06 = 378,761.06 : x
  2. Step 2: Convert to fraction form
    175,370.06/378,761.06 = 378,761.06/x
  3. Step 3: Cross multiply
    175,370.06x = 378,761.06 × 378,761.06
  4. Step 4: Simplify right side
    175,370.06x = 143,459,942,466.13
  5. Step 5: Solve for x
    x = 143,459,942,466.13/175,370.06
  6. Step 6: Final answer
    x = 818,041.23

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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.