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Finding the Third Proportional to 77,644.13 and 166,360.13

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Solution

The third proportional to 77,644.13 and 166,360.13 is: 356,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.13 : 166,360.13 = 166,360.13 : x
  2. Step 2: Convert to fraction form
    77,644.13/166,360.13 = 166,360.13/x
  3. Step 3: Cross multiply
    77,644.13x = 166,360.13 × 166,360.13
  4. Step 4: Simplify right side
    77,644.13x = 27,675,691,190.02
  5. Step 5: Solve for x
    x = 27,675,691,190.02/77,644.13
  6. Step 6: Final answer
    x = 356,442.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.