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Finding the Third Proportional to 267,136 and 416,022

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Solution

The third proportional to 267,136 and 416,022 is: 647,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,136 : 416,022 = 416,022 : x
  2. Step 2: Convert to fraction form
    267,136/416,022 = 416,022/x
  3. Step 3: Cross multiply
    267,136x = 416,022 × 416,022
  4. Step 4: Simplify right side
    267,136x = 173,074,304,484
  5. Step 5: Solve for x
    x = 173,074,304,484/267,136
  6. Step 6: Final answer
    x = 647,888.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.