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Finding the Third Proportional to 115,994.25 and 176,421.38

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Solution

The third proportional to 115,994.25 and 176,421.38 is: 268,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,994.25 : 176,421.38 = 176,421.38 : x
  2. Step 2: Convert to fraction form
    115,994.25/176,421.38 = 176,421.38/x
  3. Step 3: Cross multiply
    115,994.25x = 176,421.38 × 176,421.38
  4. Step 4: Simplify right side
    115,994.25x = 31,124,501,556.89
  5. Step 5: Solve for x
    x = 31,124,501,556.89/115,994.25
  6. Step 6: Final answer
    x = 268,327.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.