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Finding the Third Proportional to 235,876 and 352,950

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Solution

The third proportional to 235,876 and 352,950 is: 528,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,876 : 352,950 = 352,950 : x
  2. Step 2: Convert to fraction form
    235,876/352,950 = 352,950/x
  3. Step 3: Cross multiply
    235,876x = 352,950 × 352,950
  4. Step 4: Simplify right side
    235,876x = 124,573,702,500
  5. Step 5: Solve for x
    x = 124,573,702,500/235,876
  6. Step 6: Final answer
    x = 528,132.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.