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Finding the Third Proportional to 214,740 and 485,156

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Solution

The third proportional to 214,740 and 485,156 is: 1,096,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,740 : 485,156 = 485,156 : x
  2. Step 2: Convert to fraction form
    214,740/485,156 = 485,156/x
  3. Step 3: Cross multiply
    214,740x = 485,156 × 485,156
  4. Step 4: Simplify right side
    214,740x = 235,376,344,336
  5. Step 5: Solve for x
    x = 235,376,344,336/214,740
  6. Step 6: Final answer
    x = 1,096,099.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.