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Finding the Third Proportional to 161,725 and 231,577

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Solution

The third proportional to 161,725 and 231,577 is: 331,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,725 : 231,577 = 231,577 : x
  2. Step 2: Convert to fraction form
    161,725/231,577 = 231,577/x
  3. Step 3: Cross multiply
    161,725x = 231,577 × 231,577
  4. Step 4: Simplify right side
    161,725x = 53,627,906,929
  5. Step 5: Solve for x
    x = 53,627,906,929/161,725
  6. Step 6: Final answer
    x = 331,599.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.