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Finding the Third Proportional to 149,715 and 215,227.50

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Solution

The third proportional to 149,715 and 215,227.50 is: 309,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 215,227.50 = 215,227.50 : x
  2. Step 2: Convert to fraction form
    149,715/215,227.50 = 215,227.50/x
  3. Step 3: Cross multiply
    149,715x = 215,227.50 × 215,227.50
  4. Step 4: Simplify right side
    149,715x = 46,322,876,756.25
  5. Step 5: Solve for x
    x = 46,322,876,756.25/149,715
  6. Step 6: Final answer
    x = 309,407.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.