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Finding the Third Proportional to 152,636 and 331,544

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Solution

The third proportional to 152,636 and 331,544 is: 720,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,636 : 331,544 = 331,544 : x
  2. Step 2: Convert to fraction form
    152,636/331,544 = 331,544/x
  3. Step 3: Cross multiply
    152,636x = 331,544 × 331,544
  4. Step 4: Simplify right side
    152,636x = 109,921,423,936
  5. Step 5: Solve for x
    x = 109,921,423,936/152,636
  6. Step 6: Final answer
    x = 720,153.99

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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.