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Finding the Third Proportional to 152,824 and 331,922

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Solution

The third proportional to 152,824 and 331,922 is: 720,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,824 : 331,922 = 331,922 : x
  2. Step 2: Convert to fraction form
    152,824/331,922 = 331,922/x
  3. Step 3: Cross multiply
    152,824x = 331,922 × 331,922
  4. Step 4: Simplify right side
    152,824x = 110,172,214,084
  5. Step 5: Solve for x
    x = 110,172,214,084/152,824
  6. Step 6: Final answer
    x = 720,909.11

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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.