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Finding the Third Proportional to 233,856 and 352,350

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Solution

The third proportional to 233,856 and 352,350 is: 530,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,856 : 352,350 = 352,350 : x
  2. Step 2: Convert to fraction form
    233,856/352,350 = 352,350/x
  3. Step 3: Cross multiply
    233,856x = 352,350 × 352,350
  4. Step 4: Simplify right side
    233,856x = 124,150,522,500
  5. Step 5: Solve for x
    x = 124,150,522,500/233,856
  6. Step 6: Final answer
    x = 530,884.49

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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.