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Finding the Third Proportional to 159,086 and 342,553

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Solution

The third proportional to 159,086 and 342,553 is: 737,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,086 : 342,553 = 342,553 : x
  2. Step 2: Convert to fraction form
    159,086/342,553 = 342,553/x
  3. Step 3: Cross multiply
    159,086x = 342,553 × 342,553
  4. Step 4: Simplify right side
    159,086x = 117,342,557,809
  5. Step 5: Solve for x
    x = 117,342,557,809/159,086
  6. Step 6: Final answer
    x = 737,604.55

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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.