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Finding the Third Proportional to 167,531.50 and 255,246

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Solution

The third proportional to 167,531.50 and 255,246 is: 388,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,531.50 : 255,246 = 255,246 : x
  2. Step 2: Convert to fraction form
    167,531.50/255,246 = 255,246/x
  3. Step 3: Cross multiply
    167,531.50x = 255,246 × 255,246
  4. Step 4: Simplify right side
    167,531.50x = 65,150,520,516
  5. Step 5: Solve for x
    x = 65,150,520,516/167,531.50
  6. Step 6: Final answer
    x = 388,885.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.