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Finding the Third Proportional to 103,632.25 and 223,120

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Solution

The third proportional to 103,632.25 and 223,120 is: 480,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,632.25 : 223,120 = 223,120 : x
  2. Step 2: Convert to fraction form
    103,632.25/223,120 = 223,120/x
  3. Step 3: Cross multiply
    103,632.25x = 223,120 × 223,120
  4. Step 4: Simplify right side
    103,632.25x = 49,782,534,400
  5. Step 5: Solve for x
    x = 49,782,534,400/103,632.25
  6. Step 6: Final answer
    x = 480,376.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.