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Finding the Third Proportional to 233,874 and 352,927.13

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Solution

The third proportional to 233,874 and 352,927.13 is: 532,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,874 : 352,927.13 = 352,927.13 : x
  2. Step 2: Convert to fraction form
    233,874/352,927.13 = 352,927.13/x
  3. Step 3: Cross multiply
    233,874x = 352,927.13 × 352,927.13
  4. Step 4: Simplify right side
    233,874x = 124,557,555,560.77
  5. Step 5: Solve for x
    x = 124,557,555,560.77/233,874
  6. Step 6: Final answer
    x = 532,584.02

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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.