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Finding the Third Proportional to 242,955.62 and 523,162.86

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Solution

The third proportional to 242,955.62 and 523,162.86 is: 1,126,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,955.62 : 523,162.86 = 523,162.86 : x
  2. Step 2: Convert to fraction form
    242,955.62/523,162.86 = 523,162.86/x
  3. Step 3: Cross multiply
    242,955.62x = 523,162.86 × 523,162.86
  4. Step 4: Simplify right side
    242,955.62x = 273,699,381,516.64
  5. Step 5: Solve for x
    x = 273,699,381,516.64/242,955.62
  6. Step 6: Final answer
    x = 1,126,540.63

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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.