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Finding the Third Proportional to 172,007 and 252,952

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Solution

The third proportional to 172,007 and 252,952 is: 371,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,007 : 252,952 = 252,952 : x
  2. Step 2: Convert to fraction form
    172,007/252,952 = 252,952/x
  3. Step 3: Cross multiply
    172,007x = 252,952 × 252,952
  4. Step 4: Simplify right side
    172,007x = 63,984,714,304
  5. Step 5: Solve for x
    x = 63,984,714,304/172,007
  6. Step 6: Final answer
    x = 371,989.01

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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.