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Finding the Third Proportional to 110,733 and 259,963.50

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Solution

The third proportional to 110,733 and 259,963.50 is: 610,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,733 : 259,963.50 = 259,963.50 : x
  2. Step 2: Convert to fraction form
    110,733/259,963.50 = 259,963.50/x
  3. Step 3: Cross multiply
    110,733x = 259,963.50 × 259,963.50
  4. Step 4: Simplify right side
    110,733x = 67,581,021,332.25
  5. Step 5: Solve for x
    x = 67,581,021,332.25/110,733
  6. Step 6: Final answer
    x = 610,306.06

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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.