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Finding the Third Proportional to 172,036 and 237,723

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Solution

The third proportional to 172,036 and 237,723 is: 328,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,036 : 237,723 = 237,723 : x
  2. Step 2: Convert to fraction form
    172,036/237,723 = 237,723/x
  3. Step 3: Cross multiply
    172,036x = 237,723 × 237,723
  4. Step 4: Simplify right side
    172,036x = 56,512,224,729
  5. Step 5: Solve for x
    x = 56,512,224,729/172,036
  6. Step 6: Final answer
    x = 328,490.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.