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Finding the Third Proportional to 159,342 and 349,788

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Solution

The third proportional to 159,342 and 349,788 is: 767,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,342 : 349,788 = 349,788 : x
  2. Step 2: Convert to fraction form
    159,342/349,788 = 349,788/x
  3. Step 3: Cross multiply
    159,342x = 349,788 × 349,788
  4. Step 4: Simplify right side
    159,342x = 122,351,644,944
  5. Step 5: Solve for x
    x = 122,351,644,944/159,342
  6. Step 6: Final answer
    x = 767,855.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.