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Finding the Third Proportional to 233,118 and 352,458

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Solution

The third proportional to 233,118 and 352,458 is: 532,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,118 : 352,458 = 352,458 : x
  2. Step 2: Convert to fraction form
    233,118/352,458 = 352,458/x
  3. Step 3: Cross multiply
    233,118x = 352,458 × 352,458
  4. Step 4: Simplify right side
    233,118x = 124,226,641,764
  5. Step 5: Solve for x
    x = 124,226,641,764/233,118
  6. Step 6: Final answer
    x = 532,891.68

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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.