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Finding the Third Proportional to 166,360 and 360,745

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Solution

The third proportional to 166,360 and 360,745 is: 782,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,360 : 360,745 = 360,745 : x
  2. Step 2: Convert to fraction form
    166,360/360,745 = 360,745/x
  3. Step 3: Cross multiply
    166,360x = 360,745 × 360,745
  4. Step 4: Simplify right side
    166,360x = 130,136,955,025
  5. Step 5: Solve for x
    x = 130,136,955,025/166,360
  6. Step 6: Final answer
    x = 782,261.09

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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.