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Finding the Third Proportional to 210,762 and 451,152

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Solution

The third proportional to 210,762 and 451,152 is: 965,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,762 : 451,152 = 451,152 : x
  2. Step 2: Convert to fraction form
    210,762/451,152 = 451,152/x
  3. Step 3: Cross multiply
    210,762x = 451,152 × 451,152
  4. Step 4: Simplify right side
    210,762x = 203,538,127,104
  5. Step 5: Solve for x
    x = 203,538,127,104/210,762
  6. Step 6: Final answer
    x = 965,724.97

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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.