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Finding the Third Proportional to 159,503 and 347,983

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Solution

The third proportional to 159,503 and 347,983 is: 759,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,503 : 347,983 = 347,983 : x
  2. Step 2: Convert to fraction form
    159,503/347,983 = 347,983/x
  3. Step 3: Cross multiply
    159,503x = 347,983 × 347,983
  4. Step 4: Simplify right side
    159,503x = 121,092,168,289
  5. Step 5: Solve for x
    x = 121,092,168,289/159,503
  6. Step 6: Final answer
    x = 759,184.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.