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Finding the Third Proportional to 110,548.13 and 259,856.44

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Solution

The third proportional to 110,548.13 and 259,856.44 is: 610,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,548.13 : 259,856.44 = 259,856.44 : x
  2. Step 2: Convert to fraction form
    110,548.13/259,856.44 = 259,856.44/x
  3. Step 3: Cross multiply
    110,548.13x = 259,856.44 × 259,856.44
  4. Step 4: Simplify right side
    110,548.13x = 67,525,368,110.19
  5. Step 5: Solve for x
    x = 67,525,368,110.19/110,548.13
  6. Step 6: Final answer
    x = 610,823.28

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.