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Finding the Third Proportional to 192,627.50 and 255,663.75

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Solution

The third proportional to 192,627.50 and 255,663.75 is: 339,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,627.50 : 255,663.75 = 255,663.75 : x
  2. Step 2: Convert to fraction form
    192,627.50/255,663.75 = 255,663.75/x
  3. Step 3: Cross multiply
    192,627.50x = 255,663.75 × 255,663.75
  4. Step 4: Simplify right side
    192,627.50x = 65,363,953,064.06
  5. Step 5: Solve for x
    x = 65,363,953,064.06/192,627.50
  6. Step 6: Final answer
    x = 339,328.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.