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Finding the Third Proportional to 257,224 and 366,919

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Solution

The third proportional to 257,224 and 366,919 is: 523,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,224 : 366,919 = 366,919 : x
  2. Step 2: Convert to fraction form
    257,224/366,919 = 366,919/x
  3. Step 3: Cross multiply
    257,224x = 366,919 × 366,919
  4. Step 4: Simplify right side
    257,224x = 134,629,552,561
  5. Step 5: Solve for x
    x = 134,629,552,561/257,224
  6. Step 6: Final answer
    x = 523,394.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.