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Finding the Third Proportional to 154,034 and 225,711

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Solution

The third proportional to 154,034 and 225,711 is: 330,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,034 : 225,711 = 225,711 : x
  2. Step 2: Convert to fraction form
    154,034/225,711 = 225,711/x
  3. Step 3: Cross multiply
    154,034x = 225,711 × 225,711
  4. Step 4: Simplify right side
    154,034x = 50,945,455,521
  5. Step 5: Solve for x
    x = 50,945,455,521/154,034
  6. Step 6: Final answer
    x = 330,741.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.