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Finding the Third Proportional to 233,876 and 352,929

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Solution

The third proportional to 233,876 and 352,929 is: 532,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,876 : 352,929 = 352,929 : x
  2. Step 2: Convert to fraction form
    233,876/352,929 = 352,929/x
  3. Step 3: Cross multiply
    233,876x = 352,929 × 352,929
  4. Step 4: Simplify right side
    233,876x = 124,558,879,041
  5. Step 5: Solve for x
    x = 124,558,879,041/233,876
  6. Step 6: Final answer
    x = 532,585.13

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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.