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Finding the Third Proportional to 171,144 and 266,385

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Solution

The third proportional to 171,144 and 266,385 is: 414,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,144 : 266,385 = 266,385 : x
  2. Step 2: Convert to fraction form
    171,144/266,385 = 266,385/x
  3. Step 3: Cross multiply
    171,144x = 266,385 × 266,385
  4. Step 4: Simplify right side
    171,144x = 70,960,968,225
  5. Step 5: Solve for x
    x = 70,960,968,225/171,144
  6. Step 6: Final answer
    x = 414,627.26

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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.