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Finding the Third Proportional to 193,756.22 and 282,979.41

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Solution

The third proportional to 193,756.22 and 282,979.41 is: 413,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,756.22 : 282,979.41 = 282,979.41 : x
  2. Step 2: Convert to fraction form
    193,756.22/282,979.41 = 282,979.41/x
  3. Step 3: Cross multiply
    193,756.22x = 282,979.41 × 282,979.41
  4. Step 4: Simplify right side
    193,756.22x = 80,077,344,361.60
  5. Step 5: Solve for x
    x = 80,077,344,361.60/193,756.22
  6. Step 6: Final answer
    x = 413,289.16

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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.