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Finding the Third Proportional to 214,138 and 461,164

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Solution

The third proportional to 214,138 and 461,164 is: 993,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,138 : 461,164 = 461,164 : x
  2. Step 2: Convert to fraction form
    214,138/461,164 = 461,164/x
  3. Step 3: Cross multiply
    214,138x = 461,164 × 461,164
  4. Step 4: Simplify right side
    214,138x = 212,672,234,896
  5. Step 5: Solve for x
    x = 212,672,234,896/214,138
  6. Step 6: Final answer
    x = 993,155.04

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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.