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Finding the Third Proportional to 136,644.66 and 300,191.44

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Solution

The third proportional to 136,644.66 and 300,191.44 is: 659,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,644.66 : 300,191.44 = 300,191.44 : x
  2. Step 2: Convert to fraction form
    136,644.66/300,191.44 = 300,191.44/x
  3. Step 3: Cross multiply
    136,644.66x = 300,191.44 × 300,191.44
  4. Step 4: Simplify right side
    136,644.66x = 90,114,899,148.32
  5. Step 5: Solve for x
    x = 90,114,899,148.32/136,644.66
  6. Step 6: Final answer
    x = 659,483.52

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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.