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Finding the Third Proportional to 210,771 and 308,268

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Solution

The third proportional to 210,771 and 308,268 is: 450,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,771 : 308,268 = 308,268 : x
  2. Step 2: Convert to fraction form
    210,771/308,268 = 308,268/x
  3. Step 3: Cross multiply
    210,771x = 308,268 × 308,268
  4. Step 4: Simplify right side
    210,771x = 95,029,159,824
  5. Step 5: Solve for x
    x = 95,029,159,824/210,771
  6. Step 6: Final answer
    x = 450,864.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.