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Finding the Third Proportional to 141,186.66 and 302,846.06

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Solution

The third proportional to 141,186.66 and 302,846.06 is: 649,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,186.66 : 302,846.06 = 302,846.06 : x
  2. Step 2: Convert to fraction form
    141,186.66/302,846.06 = 302,846.06/x
  3. Step 3: Cross multiply
    141,186.66x = 302,846.06 × 302,846.06
  4. Step 4: Simplify right side
    141,186.66x = 91,715,737,571.75
  5. Step 5: Solve for x
    x = 91,715,737,571.75/141,186.66
  6. Step 6: Final answer
    x = 649,606.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.