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Finding the Third Proportional to 110,620.50 and 260,026.50

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Solution

The third proportional to 110,620.50 and 260,026.50 is: 611,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,620.50 : 260,026.50 = 260,026.50 : x
  2. Step 2: Convert to fraction form
    110,620.50/260,026.50 = 260,026.50/x
  3. Step 3: Cross multiply
    110,620.50x = 260,026.50 × 260,026.50
  4. Step 4: Simplify right side
    110,620.50x = 67,613,780,702.25
  5. Step 5: Solve for x
    x = 67,613,780,702.25/110,620.50
  6. Step 6: Final answer
    x = 611,222.88

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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.