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Finding the Third Proportional to 210,325 and 305,888

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Solution

The third proportional to 210,325 and 305,888 is: 444,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,325 : 305,888 = 305,888 : x
  2. Step 2: Convert to fraction form
    210,325/305,888 = 305,888/x
  3. Step 3: Cross multiply
    210,325x = 305,888 × 305,888
  4. Step 4: Simplify right side
    210,325x = 93,567,468,544
  5. Step 5: Solve for x
    x = 93,567,468,544/210,325
  6. Step 6: Final answer
    x = 444,870.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.