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Finding the Third Proportional to 236,497.50 and 354,987

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Solution

The third proportional to 236,497.50 and 354,987 is: 532,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,497.50 : 354,987 = 354,987 : x
  2. Step 2: Convert to fraction form
    236,497.50/354,987 = 354,987/x
  3. Step 3: Cross multiply
    236,497.50x = 354,987 × 354,987
  4. Step 4: Simplify right side
    236,497.50x = 126,015,770,169
  5. Step 5: Solve for x
    x = 126,015,770,169/236,497.50
  6. Step 6: Final answer
    x = 532,841.87

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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.