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Finding the Third Proportional to 166,058.44 and 264,360.38

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Solution

The third proportional to 166,058.44 and 264,360.38 is: 420,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,058.44 : 264,360.38 = 264,360.38 : x
  2. Step 2: Convert to fraction form
    166,058.44/264,360.38 = 264,360.38/x
  3. Step 3: Cross multiply
    166,058.44x = 264,360.38 × 264,360.38
  4. Step 4: Simplify right side
    166,058.44x = 69,886,407,870.14
  5. Step 5: Solve for x
    x = 69,886,407,870.14/166,058.44
  6. Step 6: Final answer
    x = 420,854.30

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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.