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Finding the Third Proportional to 172,340 and 364,551

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Solution

The third proportional to 172,340 and 364,551 is: 771,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,340 : 364,551 = 364,551 : x
  2. Step 2: Convert to fraction form
    172,340/364,551 = 364,551/x
  3. Step 3: Cross multiply
    172,340x = 364,551 × 364,551
  4. Step 4: Simplify right side
    172,340x = 132,897,431,601
  5. Step 5: Solve for x
    x = 132,897,431,601/172,340
  6. Step 6: Final answer
    x = 771,135.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.