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Finding the Third Proportional to 138,259.41 and 303,241.22

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Solution

The third proportional to 138,259.41 and 303,241.22 is: 665,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,259.41 : 303,241.22 = 303,241.22 : x
  2. Step 2: Convert to fraction form
    138,259.41/303,241.22 = 303,241.22/x
  3. Step 3: Cross multiply
    138,259.41x = 303,241.22 × 303,241.22
  4. Step 4: Simplify right side
    138,259.41x = 91,955,236,748.99
  5. Step 5: Solve for x
    x = 91,955,236,748.99/138,259.41
  6. Step 6: Final answer
    x = 665,092.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.