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Finding the Third Proportional to 115,278.82 and 174,455.96

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Solution

The third proportional to 115,278.82 and 174,455.96 is: 264,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,278.82 : 174,455.96 = 174,455.96 : x
  2. Step 2: Convert to fraction form
    115,278.82/174,455.96 = 174,455.96/x
  3. Step 3: Cross multiply
    115,278.82x = 174,455.96 × 174,455.96
  4. Step 4: Simplify right side
    115,278.82x = 30,434,883,669.56
  5. Step 5: Solve for x
    x = 30,434,883,669.56/115,278.82
  6. Step 6: Final answer
    x = 264,011.06

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Why These Related Problems?

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