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Finding the Third Proportional to 159,252 and 338,984

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Solution

The third proportional to 159,252 and 338,984 is: 721,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,252 : 338,984 = 338,984 : x
  2. Step 2: Convert to fraction form
    159,252/338,984 = 338,984/x
  3. Step 3: Cross multiply
    159,252x = 338,984 × 338,984
  4. Step 4: Simplify right side
    159,252x = 114,910,152,256
  5. Step 5: Solve for x
    x = 114,910,152,256/159,252
  6. Step 6: Final answer
    x = 721,561.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.