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Finding the Third Proportional to 210,850 and 451,832

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Solution

The third proportional to 210,850 and 451,832 is: 968,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,850 : 451,832 = 451,832 : x
  2. Step 2: Convert to fraction form
    210,850/451,832 = 451,832/x
  3. Step 3: Cross multiply
    210,850x = 451,832 × 451,832
  4. Step 4: Simplify right side
    210,850x = 204,152,156,224
  5. Step 5: Solve for x
    x = 204,152,156,224/210,850
  6. Step 6: Final answer
    x = 968,234.08

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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.