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Finding the Third Proportional to 172,347 and 364,563

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Solution

The third proportional to 172,347 and 364,563 is: 771,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,347 : 364,563 = 364,563 : x
  2. Step 2: Convert to fraction form
    172,347/364,563 = 364,563/x
  3. Step 3: Cross multiply
    172,347x = 364,563 × 364,563
  4. Step 4: Simplify right side
    172,347x = 132,906,180,969
  5. Step 5: Solve for x
    x = 132,906,180,969/172,347
  6. Step 6: Final answer
    x = 771,154.59

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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.