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Finding the Third Proportional to 144,200 and 215,104

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Solution

The third proportional to 144,200 and 215,104 is: 320,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,200 : 215,104 = 215,104 : x
  2. Step 2: Convert to fraction form
    144,200/215,104 = 215,104/x
  3. Step 3: Cross multiply
    144,200x = 215,104 × 215,104
  4. Step 4: Simplify right side
    144,200x = 46,269,730,816
  5. Step 5: Solve for x
    x = 46,269,730,816/144,200
  6. Step 6: Final answer
    x = 320,871.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.