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Finding the Third Proportional to 159,685.50 and 347,721

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Solution

The third proportional to 159,685.50 and 347,721 is: 757,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,685.50 : 347,721 = 347,721 : x
  2. Step 2: Convert to fraction form
    159,685.50/347,721 = 347,721/x
  3. Step 3: Cross multiply
    159,685.50x = 347,721 × 347,721
  4. Step 4: Simplify right side
    159,685.50x = 120,909,893,841
  5. Step 5: Solve for x
    x = 120,909,893,841/159,685.50
  6. Step 6: Final answer
    x = 757,175.16

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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.