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Finding the Third Proportional to 210,774 and 321,414

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Solution

The third proportional to 210,774 and 321,414 is: 490,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,774 : 321,414 = 321,414 : x
  2. Step 2: Convert to fraction form
    210,774/321,414 = 321,414/x
  3. Step 3: Cross multiply
    210,774x = 321,414 × 321,414
  4. Step 4: Simplify right side
    210,774x = 103,306,959,396
  5. Step 5: Solve for x
    x = 103,306,959,396/210,774
  6. Step 6: Final answer
    x = 490,131.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.