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Finding the Third Proportional to 98,295 and 150,308

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Solution

The third proportional to 98,295 and 150,308 is: 229,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,295 : 150,308 = 150,308 : x
  2. Step 2: Convert to fraction form
    98,295/150,308 = 150,308/x
  3. Step 3: Cross multiply
    98,295x = 150,308 × 150,308
  4. Step 4: Simplify right side
    98,295x = 22,592,494,864
  5. Step 5: Solve for x
    x = 22,592,494,864/98,295
  6. Step 6: Final answer
    x = 229,843.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.