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Finding the Third Proportional to 161,703 and 231,444

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Solution

The third proportional to 161,703 and 231,444 is: 331,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,703 : 231,444 = 231,444 : x
  2. Step 2: Convert to fraction form
    161,703/231,444 = 231,444/x
  3. Step 3: Cross multiply
    161,703x = 231,444 × 231,444
  4. Step 4: Simplify right side
    161,703x = 53,566,325,136
  5. Step 5: Solve for x
    x = 53,566,325,136/161,703
  6. Step 6: Final answer
    x = 331,263.64

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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.