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Finding the Third Proportional to 172,038 and 252,997

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Solution

The third proportional to 172,038 and 252,997 is: 372,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,038 : 252,997 = 252,997 : x
  2. Step 2: Convert to fraction form
    172,038/252,997 = 252,997/x
  3. Step 3: Cross multiply
    172,038x = 252,997 × 252,997
  4. Step 4: Simplify right side
    172,038x = 64,007,482,009
  5. Step 5: Solve for x
    x = 64,007,482,009/172,038
  6. Step 6: Final answer
    x = 372,054.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.