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Finding the Third Proportional to 201,764 and 321,096

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Solution

The third proportional to 201,764 and 321,096 is: 511,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764 : 321,096 = 321,096 : x
  2. Step 2: Convert to fraction form
    201,764/321,096 = 321,096/x
  3. Step 3: Cross multiply
    201,764x = 321,096 × 321,096
  4. Step 4: Simplify right side
    201,764x = 103,102,641,216
  5. Step 5: Solve for x
    x = 103,102,641,216/201,764
  6. Step 6: Final answer
    x = 511,006.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.