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Finding the Third Proportional to 166,358.81 and 360,741.09

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Solution

The third proportional to 166,358.81 and 360,741.09 is: 782,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,358.81 : 360,741.09 = 360,741.09 : x
  2. Step 2: Convert to fraction form
    166,358.81/360,741.09 = 360,741.09/x
  3. Step 3: Cross multiply
    166,358.81x = 360,741.09 × 360,741.09
  4. Step 4: Simplify right side
    166,358.81x = 130,134,136,719.95
  5. Step 5: Solve for x
    x = 130,134,136,719.95/166,358.81
  6. Step 6: Final answer
    x = 782,249.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.