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Finding the Third Proportional to 110,550 and 259,859.25

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Solution

The third proportional to 110,550 and 259,859.25 is: 610,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,550 : 259,859.25 = 259,859.25 : x
  2. Step 2: Convert to fraction form
    110,550/259,859.25 = 259,859.25/x
  3. Step 3: Cross multiply
    110,550x = 259,859.25 × 259,859.25
  4. Step 4: Simplify right side
    110,550x = 67,526,829,810.56
  5. Step 5: Solve for x
    x = 67,526,829,810.56/110,550
  6. Step 6: Final answer
    x = 610,826.14

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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.