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Finding the Third Proportional to 152,672 and 331,604

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Solution

The third proportional to 152,672 and 331,604 is: 720,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,672 : 331,604 = 331,604 : x
  2. Step 2: Convert to fraction form
    152,672/331,604 = 331,604/x
  3. Step 3: Cross multiply
    152,672x = 331,604 × 331,604
  4. Step 4: Simplify right side
    152,672x = 109,961,212,816
  5. Step 5: Solve for x
    x = 109,961,212,816/152,672
  6. Step 6: Final answer
    x = 720,244.79

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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.