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Finding the Third Proportional to 115,379.91 and 174,663.84

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Solution

The third proportional to 115,379.91 and 174,663.84 is: 264,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,379.91 : 174,663.84 = 174,663.84 : x
  2. Step 2: Convert to fraction form
    115,379.91/174,663.84 = 174,663.84/x
  3. Step 3: Cross multiply
    115,379.91x = 174,663.84 × 174,663.84
  4. Step 4: Simplify right side
    115,379.91x = 30,507,458,313.52
  5. Step 5: Solve for x
    x = 30,507,458,313.52/115,379.91
  6. Step 6: Final answer
    x = 264,408.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.