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Finding the Third Proportional to 165,186.50 and 262,548.75

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Solution

The third proportional to 165,186.50 and 262,548.75 is: 417,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,186.50 : 262,548.75 = 262,548.75 : x
  2. Step 2: Convert to fraction form
    165,186.50/262,548.75 = 262,548.75/x
  3. Step 3: Cross multiply
    165,186.50x = 262,548.75 × 262,548.75
  4. Step 4: Simplify right side
    165,186.50x = 68,931,846,126.56
  5. Step 5: Solve for x
    x = 68,931,846,126.56/165,186.50
  6. Step 6: Final answer
    x = 417,297.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.