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Finding the Third Proportional to 171,169 and 368,136

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Solution

The third proportional to 171,169 and 368,136 is: 791,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,169 : 368,136 = 368,136 : x
  2. Step 2: Convert to fraction form
    171,169/368,136 = 368,136/x
  3. Step 3: Cross multiply
    171,169x = 368,136 × 368,136
  4. Step 4: Simplify right side
    171,169x = 135,524,114,496
  5. Step 5: Solve for x
    x = 135,524,114,496/171,169
  6. Step 6: Final answer
    x = 791,756.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.