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Finding the Third Proportional to 210,835 and 451,802

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Solution

The third proportional to 210,835 and 451,802 is: 968,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,835 : 451,802 = 451,802 : x
  2. Step 2: Convert to fraction form
    210,835/451,802 = 451,802/x
  3. Step 3: Cross multiply
    210,835x = 451,802 × 451,802
  4. Step 4: Simplify right side
    210,835x = 204,125,047,204
  5. Step 5: Solve for x
    x = 204,125,047,204/210,835
  6. Step 6: Final answer
    x = 968,174.39

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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.