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Finding the Third Proportional to 136,588.50 and 299,418.75

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Solution

The third proportional to 136,588.50 and 299,418.75 is: 656,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,588.50 : 299,418.75 = 299,418.75 : x
  2. Step 2: Convert to fraction form
    136,588.50/299,418.75 = 299,418.75/x
  3. Step 3: Cross multiply
    136,588.50x = 299,418.75 × 299,418.75
  4. Step 4: Simplify right side
    136,588.50x = 89,651,587,851.56
  5. Step 5: Solve for x
    x = 89,651,587,851.56/136,588.50
  6. Step 6: Final answer
    x = 656,362.64

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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.