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Finding the Third Proportional to 138,868.45 and 297,419.48

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Solution

The third proportional to 138,868.45 and 297,419.48 is: 636,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,868.45 : 297,419.48 = 297,419.48 : x
  2. Step 2: Convert to fraction form
    138,868.45/297,419.48 = 297,419.48/x
  3. Step 3: Cross multiply
    138,868.45x = 297,419.48 × 297,419.48
  4. Step 4: Simplify right side
    138,868.45x = 88,458,349,685.89
  5. Step 5: Solve for x
    x = 88,458,349,685.89/138,868.45
  6. Step 6: Final answer
    x = 636,993.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.