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Finding the Third Proportional to 136,204.88 and 299,274.75

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Solution

The third proportional to 136,204.88 and 299,274.75 is: 657,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,204.88 : 299,274.75 = 299,274.75 : x
  2. Step 2: Convert to fraction form
    136,204.88/299,274.75 = 299,274.75/x
  3. Step 3: Cross multiply
    136,204.88x = 299,274.75 × 299,274.75
  4. Step 4: Simplify right side
    136,204.88x = 89,565,375,987.56
  5. Step 5: Solve for x
    x = 89,565,375,987.56/136,204.88
  6. Step 6: Final answer
    x = 657,578.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.