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Finding the Third Proportional to 144,351 and 207,933

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Solution

The third proportional to 144,351 and 207,933 is: 299,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351 : 207,933 = 207,933 : x
  2. Step 2: Convert to fraction form
    144,351/207,933 = 207,933/x
  3. Step 3: Cross multiply
    144,351x = 207,933 × 207,933
  4. Step 4: Simplify right side
    144,351x = 43,236,132,489
  5. Step 5: Solve for x
    x = 43,236,132,489/144,351
  6. Step 6: Final answer
    x = 299,520.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.