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Finding the Third Proportional to 172,820 and 266,601

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Solution

The third proportional to 172,820 and 266,601 is: 411,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,820 : 266,601 = 266,601 : x
  2. Step 2: Convert to fraction form
    172,820/266,601 = 266,601/x
  3. Step 3: Cross multiply
    172,820x = 266,601 × 266,601
  4. Step 4: Simplify right side
    172,820x = 71,076,093,201
  5. Step 5: Solve for x
    x = 71,076,093,201/172,820
  6. Step 6: Final answer
    x = 411,272.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.