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Finding the Third Proportional to 214,326 and 301,905

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Solution

The third proportional to 214,326 and 301,905 is: 425,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,326 : 301,905 = 301,905 : x
  2. Step 2: Convert to fraction form
    214,326/301,905 = 301,905/x
  3. Step 3: Cross multiply
    214,326x = 301,905 × 301,905
  4. Step 4: Simplify right side
    214,326x = 91,146,629,025
  5. Step 5: Solve for x
    x = 91,146,629,025/214,326
  6. Step 6: Final answer
    x = 425,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.