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Finding the Third Proportional to 208,427 and 322,938

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Solution

The third proportional to 208,427 and 322,938 is: 500,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,427 : 322,938 = 322,938 : x
  2. Step 2: Convert to fraction form
    208,427/322,938 = 322,938/x
  3. Step 3: Cross multiply
    208,427x = 322,938 × 322,938
  4. Step 4: Simplify right side
    208,427x = 104,288,951,844
  5. Step 5: Solve for x
    x = 104,288,951,844/208,427
  6. Step 6: Final answer
    x = 500,362.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.