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Finding the Third Proportional to 133,652.53 and 276,778.27

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Solution

The third proportional to 133,652.53 and 276,778.27 is: 573,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,652.53 : 276,778.27 = 276,778.27 : x
  2. Step 2: Convert to fraction form
    133,652.53/276,778.27 = 276,778.27/x
  3. Step 3: Cross multiply
    133,652.53x = 276,778.27 × 276,778.27
  4. Step 4: Simplify right side
    133,652.53x = 76,606,208,322.38
  5. Step 5: Solve for x
    x = 76,606,208,322.38/133,652.53
  6. Step 6: Final answer
    x = 573,174.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.