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Finding the Third Proportional to 236,342 and 354,689

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Solution

The third proportional to 236,342 and 354,689 is: 532,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,342 : 354,689 = 354,689 : x
  2. Step 2: Convert to fraction form
    236,342/354,689 = 354,689/x
  3. Step 3: Cross multiply
    236,342x = 354,689 × 354,689
  4. Step 4: Simplify right side
    236,342x = 125,804,286,721
  5. Step 5: Solve for x
    x = 125,804,286,721/236,342
  6. Step 6: Final answer
    x = 532,297.63

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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.