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Finding the Third Proportional to 138,439.13 and 302,502.09

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Solution

The third proportional to 138,439.13 and 302,502.09 is: 660,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,439.13 : 302,502.09 = 302,502.09 : x
  2. Step 2: Convert to fraction form
    138,439.13/302,502.09 = 302,502.09/x
  3. Step 3: Cross multiply
    138,439.13x = 302,502.09 × 302,502.09
  4. Step 4: Simplify right side
    138,439.13x = 91,507,516,723.13
  5. Step 5: Solve for x
    x = 91,507,516,723.13/138,439.13
  6. Step 6: Final answer
    x = 660,994.62

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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.