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Finding the Third Proportional to 172,004.50 and 364,907

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Solution

The third proportional to 172,004.50 and 364,907 is: 774,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,004.50 : 364,907 = 364,907 : x
  2. Step 2: Convert to fraction form
    172,004.50/364,907 = 364,907/x
  3. Step 3: Cross multiply
    172,004.50x = 364,907 × 364,907
  4. Step 4: Simplify right side
    172,004.50x = 133,157,118,649
  5. Step 5: Solve for x
    x = 133,157,118,649/172,004.50
  6. Step 6: Final answer
    x = 774,149.04

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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.