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Finding the Third Proportional to 166,356.75 and 360,739.13

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Solution

The third proportional to 166,356.75 and 360,739.13 is: 782,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356.75 : 360,739.13 = 360,739.13 : x
  2. Step 2: Convert to fraction form
    166,356.75/360,739.13 = 360,739.13/x
  3. Step 3: Cross multiply
    166,356.75x = 360,739.13 × 360,739.13
  4. Step 4: Simplify right side
    166,356.75x = 130,132,716,305.77
  5. Step 5: Solve for x
    x = 130,132,716,305.77/166,356.75
  6. Step 6: Final answer
    x = 782,250.89

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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.