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Finding the Third Proportional to 233,342 and 361,999

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Solution

The third proportional to 233,342 and 361,999 is: 561,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,342 : 361,999 = 361,999 : x
  2. Step 2: Convert to fraction form
    233,342/361,999 = 361,999/x
  3. Step 3: Cross multiply
    233,342x = 361,999 × 361,999
  4. Step 4: Simplify right side
    233,342x = 131,043,276,001
  5. Step 5: Solve for x
    x = 131,043,276,001/233,342
  6. Step 6: Final answer
    x = 561,593.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.