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Finding the Third Proportional to 159,843.38 and 347,024.25

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Solution

The third proportional to 159,843.38 and 347,024.25 is: 753,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,843.38 : 347,024.25 = 347,024.25 : x
  2. Step 2: Convert to fraction form
    159,843.38/347,024.25 = 347,024.25/x
  3. Step 3: Cross multiply
    159,843.38x = 347,024.25 × 347,024.25
  4. Step 4: Simplify right side
    159,843.38x = 120,425,830,088.06
  5. Step 5: Solve for x
    x = 120,425,830,088.06/159,843.38
  6. Step 6: Final answer
    x = 753,398.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.