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Finding the Third Proportional to 138,900 and 303,634.50

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Solution

The third proportional to 138,900 and 303,634.50 is: 663,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900 : 303,634.50 = 303,634.50 : x
  2. Step 2: Convert to fraction form
    138,900/303,634.50 = 303,634.50/x
  3. Step 3: Cross multiply
    138,900x = 303,634.50 × 303,634.50
  4. Step 4: Simplify right side
    138,900x = 92,193,909,590.25
  5. Step 5: Solve for x
    x = 92,193,909,590.25/138,900
  6. Step 6: Final answer
    x = 663,743.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.