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Finding the Third Proportional to 210,732.75 and 451,612.69

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Solution

The third proportional to 210,732.75 and 451,612.69 is: 967,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,732.75 : 451,612.69 = 451,612.69 : x
  2. Step 2: Convert to fraction form
    210,732.75/451,612.69 = 451,612.69/x
  3. Step 3: Cross multiply
    210,732.75x = 451,612.69 × 451,612.69
  4. Step 4: Simplify right side
    210,732.75x = 203,954,019,510.97
  5. Step 5: Solve for x
    x = 203,954,019,510.97/210,732.75
  6. Step 6: Final answer
    x = 967,832.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.