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Finding the Third Proportional to 210,456 and 321,948

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Solution

The third proportional to 210,456 and 321,948 is: 492,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,456 : 321,948 = 321,948 : x
  2. Step 2: Convert to fraction form
    210,456/321,948 = 321,948/x
  3. Step 3: Cross multiply
    210,456x = 321,948 × 321,948
  4. Step 4: Simplify right side
    210,456x = 103,650,514,704
  5. Step 5: Solve for x
    x = 103,650,514,704/210,456
  6. Step 6: Final answer
    x = 492,504.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.