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Finding the Third Proportional to 171,136 and 372,104

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Solution

The third proportional to 171,136 and 372,104 is: 809,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,136 : 372,104 = 372,104 : x
  2. Step 2: Convert to fraction form
    171,136/372,104 = 372,104/x
  3. Step 3: Cross multiply
    171,136x = 372,104 × 372,104
  4. Step 4: Simplify right side
    171,136x = 138,461,386,816
  5. Step 5: Solve for x
    x = 138,461,386,816/171,136
  6. Step 6: Final answer
    x = 809,072.24

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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.