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Finding the Third Proportional to 43,344 and 103,288.50

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Solution

The third proportional to 43,344 and 103,288.50 is: 246,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,344 : 103,288.50 = 103,288.50 : x
  2. Step 2: Convert to fraction form
    43,344/103,288.50 = 103,288.50/x
  3. Step 3: Cross multiply
    43,344x = 103,288.50 × 103,288.50
  4. Step 4: Simplify right side
    43,344x = 10,668,514,232.25
  5. Step 5: Solve for x
    x = 10,668,514,232.25/43,344
  6. Step 6: Final answer
    x = 246,135.89

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.