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Finding the Third Proportional to 138,034.13 and 298,201.50

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Solution

The third proportional to 138,034.13 and 298,201.50 is: 644,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,034.13 : 298,201.50 = 298,201.50 : x
  2. Step 2: Convert to fraction form
    138,034.13/298,201.50 = 298,201.50/x
  3. Step 3: Cross multiply
    138,034.13x = 298,201.50 × 298,201.50
  4. Step 4: Simplify right side
    138,034.13x = 88,924,134,602.25
  5. Step 5: Solve for x
    x = 88,924,134,602.25/138,034.13
  6. Step 6: Final answer
    x = 644,218.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.