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Finding the Third Proportional to 152,967 and 331,354

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Solution

The third proportional to 152,967 and 331,354 is: 717,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,967 : 331,354 = 331,354 : x
  2. Step 2: Convert to fraction form
    152,967/331,354 = 331,354/x
  3. Step 3: Cross multiply
    152,967x = 331,354 × 331,354
  4. Step 4: Simplify right side
    152,967x = 109,795,473,316
  5. Step 5: Solve for x
    x = 109,795,473,316/152,967
  6. Step 6: Final answer
    x = 717,772.29

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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.