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Finding the Third Proportional to 110,627 and 260,040.50

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Solution

The third proportional to 110,627 and 260,040.50 is: 611,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,627 : 260,040.50 = 260,040.50 : x
  2. Step 2: Convert to fraction form
    110,627/260,040.50 = 260,040.50/x
  3. Step 3: Cross multiply
    110,627x = 260,040.50 × 260,040.50
  4. Step 4: Simplify right side
    110,627x = 67,621,061,640.25
  5. Step 5: Solve for x
    x = 67,621,061,640.25/110,627
  6. Step 6: Final answer
    x = 611,252.78

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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.