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Finding the Third Proportional to 210,149 and 449,818

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Solution

The third proportional to 210,149 and 449,818 is: 962,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,149 : 449,818 = 449,818 : x
  2. Step 2: Convert to fraction form
    210,149/449,818 = 449,818/x
  3. Step 3: Cross multiply
    210,149x = 449,818 × 449,818
  4. Step 4: Simplify right side
    210,149x = 202,336,233,124
  5. Step 5: Solve for x
    x = 202,336,233,124/210,149
  6. Step 6: Final answer
    x = 962,822.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.