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Finding the Third Proportional to 101,343.66 and 234,583.59

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Solution

The third proportional to 101,343.66 and 234,583.59 is: 542,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,343.66 : 234,583.59 = 234,583.59 : x
  2. Step 2: Convert to fraction form
    101,343.66/234,583.59 = 234,583.59/x
  3. Step 3: Cross multiply
    101,343.66x = 234,583.59 × 234,583.59
  4. Step 4: Simplify right side
    101,343.66x = 55,029,462,456.67
  5. Step 5: Solve for x
    x = 55,029,462,456.67/101,343.66
  6. Step 6: Final answer
    x = 542,998.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.