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Finding the Third Proportional to 144,226 and 197,868

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Solution

The third proportional to 144,226 and 197,868 is: 271,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,226 : 197,868 = 197,868 : x
  2. Step 2: Convert to fraction form
    144,226/197,868 = 197,868/x
  3. Step 3: Cross multiply
    144,226x = 197,868 × 197,868
  4. Step 4: Simplify right side
    144,226x = 39,151,745,424
  5. Step 5: Solve for x
    x = 39,151,745,424/144,226
  6. Step 6: Final answer
    x = 271,461.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.