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Finding the Third Proportional to 144,228 and 215,142

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Solution

The third proportional to 144,228 and 215,142 is: 320,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228 : 215,142 = 215,142 : x
  2. Step 2: Convert to fraction form
    144,228/215,142 = 215,142/x
  3. Step 3: Cross multiply
    144,228x = 215,142 × 215,142
  4. Step 4: Simplify right side
    144,228x = 46,286,080,164
  5. Step 5: Solve for x
    x = 46,286,080,164/144,228
  6. Step 6: Final answer
    x = 320,922.98

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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.