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Finding the Third Proportional to 150,488 and 326,894

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Solution

The third proportional to 150,488 and 326,894 is: 710,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,488 : 326,894 = 326,894 : x
  2. Step 2: Convert to fraction form
    150,488/326,894 = 326,894/x
  3. Step 3: Cross multiply
    150,488x = 326,894 × 326,894
  4. Step 4: Simplify right side
    150,488x = 106,859,687,236
  5. Step 5: Solve for x
    x = 106,859,687,236/150,488
  6. Step 6: Final answer
    x = 710,087.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.