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Finding the Third Proportional to 193,116.50 and 282,761

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Solution

The third proportional to 193,116.50 and 282,761 is: 414,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,116.50 : 282,761 = 282,761 : x
  2. Step 2: Convert to fraction form
    193,116.50/282,761 = 282,761/x
  3. Step 3: Cross multiply
    193,116.50x = 282,761 × 282,761
  4. Step 4: Simplify right side
    193,116.50x = 79,953,783,121
  5. Step 5: Solve for x
    x = 79,953,783,121/193,116.50
  6. Step 6: Final answer
    x = 414,018.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.