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Finding the Third Proportional to 152,467 and 334,376

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Solution

The third proportional to 152,467 and 334,376 is: 733,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,467 : 334,376 = 334,376 : x
  2. Step 2: Convert to fraction form
    152,467/334,376 = 334,376/x
  3. Step 3: Cross multiply
    152,467x = 334,376 × 334,376
  4. Step 4: Simplify right side
    152,467x = 111,807,309,376
  5. Step 5: Solve for x
    x = 111,807,309,376/152,467
  6. Step 6: Final answer
    x = 733,321.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.