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Finding the Third Proportional to 257,233 and 366,932

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Solution

The third proportional to 257,233 and 366,932 is: 523,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,233 : 366,932 = 366,932 : x
  2. Step 2: Convert to fraction form
    257,233/366,932 = 366,932/x
  3. Step 3: Cross multiply
    257,233x = 366,932 × 366,932
  4. Step 4: Simplify right side
    257,233x = 134,639,092,624
  5. Step 5: Solve for x
    x = 134,639,092,624/257,233
  6. Step 6: Final answer
    x = 523,412.99

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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.