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Finding the Third Proportional to 138,525.19 and 299,193.75

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Solution

The third proportional to 138,525.19 and 299,193.75 is: 646,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,525.19 : 299,193.75 = 299,193.75 : x
  2. Step 2: Convert to fraction form
    138,525.19/299,193.75 = 299,193.75/x
  3. Step 3: Cross multiply
    138,525.19x = 299,193.75 × 299,193.75
  4. Step 4: Simplify right side
    138,525.19x = 89,516,900,039.06
  5. Step 5: Solve for x
    x = 89,516,900,039.06/138,525.19
  6. Step 6: Final answer
    x = 646,213.89

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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.