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Finding the Third Proportional to 171,784.50 and 256,887

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Solution

The third proportional to 171,784.50 and 256,887 is: 384,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,784.50 : 256,887 = 256,887 : x
  2. Step 2: Convert to fraction form
    171,784.50/256,887 = 256,887/x
  3. Step 3: Cross multiply
    171,784.50x = 256,887 × 256,887
  4. Step 4: Simplify right side
    171,784.50x = 65,990,930,769
  5. Step 5: Solve for x
    x = 65,990,930,769/171,784.50
  6. Step 6: Final answer
    x = 384,149.51

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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.