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Finding the Third Proportional to 144,816 and 224,229

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Solution

The third proportional to 144,816 and 224,229 is: 347,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,816 : 224,229 = 224,229 : x
  2. Step 2: Convert to fraction form
    144,816/224,229 = 224,229/x
  3. Step 3: Cross multiply
    144,816x = 224,229 × 224,229
  4. Step 4: Simplify right side
    144,816x = 50,278,644,441
  5. Step 5: Solve for x
    x = 50,278,644,441/144,816
  6. Step 6: Final answer
    x = 347,189.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.