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Finding the Third Proportional to 152,551 and 225,711

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Solution

The third proportional to 152,551 and 225,711 is: 333,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,551 : 225,711 = 225,711 : x
  2. Step 2: Convert to fraction form
    152,551/225,711 = 225,711/x
  3. Step 3: Cross multiply
    152,551x = 225,711 × 225,711
  4. Step 4: Simplify right side
    152,551x = 50,945,455,521
  5. Step 5: Solve for x
    x = 50,945,455,521/152,551
  6. Step 6: Final answer
    x = 333,956.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.