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Finding the Third Proportional to 152,846 and 335,218

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Solution

The third proportional to 152,846 and 335,218 is: 735,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,846 : 335,218 = 335,218 : x
  2. Step 2: Convert to fraction form
    152,846/335,218 = 335,218/x
  3. Step 3: Cross multiply
    152,846x = 335,218 × 335,218
  4. Step 4: Simplify right side
    152,846x = 112,371,107,524
  5. Step 5: Solve for x
    x = 112,371,107,524/152,846
  6. Step 6: Final answer
    x = 735,191.68

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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.