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Finding the Third Proportional to 166,256 and 360,295

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Solution

The third proportional to 166,256 and 360,295 is: 780,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,256 : 360,295 = 360,295 : x
  2. Step 2: Convert to fraction form
    166,256/360,295 = 360,295/x
  3. Step 3: Cross multiply
    166,256x = 360,295 × 360,295
  4. Step 4: Simplify right side
    166,256x = 129,812,487,025
  5. Step 5: Solve for x
    x = 129,812,487,025/166,256
  6. Step 6: Final answer
    x = 780,798.81

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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.