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Finding the Third Proportional to 152,467 and 334,377

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Solution

The third proportional to 152,467 and 334,377 is: 733,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,467 : 334,377 = 334,377 : x
  2. Step 2: Convert to fraction form
    152,467/334,377 = 334,377/x
  3. Step 3: Cross multiply
    152,467x = 334,377 × 334,377
  4. Step 4: Simplify right side
    152,467x = 111,807,978,129
  5. Step 5: Solve for x
    x = 111,807,978,129/152,467
  6. Step 6: Final answer
    x = 733,325.76

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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.