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Finding the Third Proportional to 96,314 and 232,034

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Solution

The third proportional to 96,314 and 232,034 is: 559,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,314 : 232,034 = 232,034 : x
  2. Step 2: Convert to fraction form
    96,314/232,034 = 232,034/x
  3. Step 3: Cross multiply
    96,314x = 232,034 × 232,034
  4. Step 4: Simplify right side
    96,314x = 53,839,777,156
  5. Step 5: Solve for x
    x = 53,839,777,156/96,314
  6. Step 6: Final answer
    x = 559,002.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.