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Finding the Third Proportional to 110,415.75 and 238,317.75

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Solution

The third proportional to 110,415.75 and 238,317.75 is: 514,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,415.75 : 238,317.75 = 238,317.75 : x
  2. Step 2: Convert to fraction form
    110,415.75/238,317.75 = 238,317.75/x
  3. Step 3: Cross multiply
    110,415.75x = 238,317.75 × 238,317.75
  4. Step 4: Simplify right side
    110,415.75x = 56,795,349,965.06
  5. Step 5: Solve for x
    x = 56,795,349,965.06/110,415.75
  6. Step 6: Final answer
    x = 514,377.25

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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.