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Finding the Third Proportional to 138,749.63 and 298,215

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Solution

The third proportional to 138,749.63 and 298,215 is: 640,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,749.63 : 298,215 = 298,215 : x
  2. Step 2: Convert to fraction form
    138,749.63/298,215 = 298,215/x
  3. Step 3: Cross multiply
    138,749.63x = 298,215 × 298,215
  4. Step 4: Simplify right side
    138,749.63x = 88,932,186,225
  5. Step 5: Solve for x
    x = 88,932,186,225/138,749.63
  6. Step 6: Final answer
    x = 640,954.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.