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Finding the Third Proportional to 166,136 and 354,022

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Solution

The third proportional to 166,136 and 354,022 is: 754,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,136 : 354,022 = 354,022 : x
  2. Step 2: Convert to fraction form
    166,136/354,022 = 354,022/x
  3. Step 3: Cross multiply
    166,136x = 354,022 × 354,022
  4. Step 4: Simplify right side
    166,136x = 125,331,576,484
  5. Step 5: Solve for x
    x = 125,331,576,484/166,136
  6. Step 6: Final answer
    x = 754,391.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.