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Finding the Third Proportional to 138,426.75 and 300,865.50

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Solution

The third proportional to 138,426.75 and 300,865.50 is: 653,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,426.75 : 300,865.50 = 300,865.50 : x
  2. Step 2: Convert to fraction form
    138,426.75/300,865.50 = 300,865.50/x
  3. Step 3: Cross multiply
    138,426.75x = 300,865.50 × 300,865.50
  4. Step 4: Simplify right side
    138,426.75x = 90,520,049,090.25
  5. Step 5: Solve for x
    x = 90,520,049,090.25/138,426.75
  6. Step 6: Final answer
    x = 653,920.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.