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Finding the Third Proportional to 233,350 and 352,163

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Solution

The third proportional to 233,350 and 352,163 is: 531,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,350 : 352,163 = 352,163 : x
  2. Step 2: Convert to fraction form
    233,350/352,163 = 352,163/x
  3. Step 3: Cross multiply
    233,350x = 352,163 × 352,163
  4. Step 4: Simplify right side
    233,350x = 124,018,778,569
  5. Step 5: Solve for x
    x = 124,018,778,569/233,350
  6. Step 6: Final answer
    x = 531,471.09

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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.