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Finding the Third Proportional to 233,924 and 352,990

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Solution

The third proportional to 233,924 and 352,990 is: 532,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,924 : 352,990 = 352,990 : x
  2. Step 2: Convert to fraction form
    233,924/352,990 = 352,990/x
  3. Step 3: Cross multiply
    233,924x = 352,990 × 352,990
  4. Step 4: Simplify right side
    233,924x = 124,601,940,100
  5. Step 5: Solve for x
    x = 124,601,940,100/233,924
  6. Step 6: Final answer
    x = 532,659.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.