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Finding the Third Proportional to 169,157 and 237,999

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Solution

The third proportional to 169,157 and 237,999 is: 334,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,157 : 237,999 = 237,999 : x
  2. Step 2: Convert to fraction form
    169,157/237,999 = 237,999/x
  3. Step 3: Cross multiply
    169,157x = 237,999 × 237,999
  4. Step 4: Simplify right side
    169,157x = 56,643,524,001
  5. Step 5: Solve for x
    x = 56,643,524,001/169,157
  6. Step 6: Final answer
    x = 334,857.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.