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Finding the Third Proportional to 152,226 and 228,366

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Solution

The third proportional to 152,226 and 228,366 is: 342,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,226 : 228,366 = 228,366 : x
  2. Step 2: Convert to fraction form
    152,226/228,366 = 228,366/x
  3. Step 3: Cross multiply
    152,226x = 228,366 × 228,366
  4. Step 4: Simplify right side
    152,226x = 52,151,029,956
  5. Step 5: Solve for x
    x = 52,151,029,956/152,226
  6. Step 6: Final answer
    x = 342,589.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.