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Finding the Third Proportional to 172,013.50 and 364,925

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Solution

The third proportional to 172,013.50 and 364,925 is: 774,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,013.50 : 364,925 = 364,925 : x
  2. Step 2: Convert to fraction form
    172,013.50/364,925 = 364,925/x
  3. Step 3: Cross multiply
    172,013.50x = 364,925 × 364,925
  4. Step 4: Simplify right side
    172,013.50x = 133,170,255,625
  5. Step 5: Solve for x
    x = 133,170,255,625/172,013.50
  6. Step 6: Final answer
    x = 774,184.91

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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.