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Finding the Third Proportional to 138,558 and 223,150.50

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Solution

The third proportional to 138,558 and 223,150.50 is: 359,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,558 : 223,150.50 = 223,150.50 : x
  2. Step 2: Convert to fraction form
    138,558/223,150.50 = 223,150.50/x
  3. Step 3: Cross multiply
    138,558x = 223,150.50 × 223,150.50
  4. Step 4: Simplify right side
    138,558x = 49,796,145,650.25
  5. Step 5: Solve for x
    x = 49,796,145,650.25/138,558
  6. Step 6: Final answer
    x = 359,388.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.