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Finding the Third Proportional to 201,933 and 311,323

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Solution

The third proportional to 201,933 and 311,323 is: 479,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,933 : 311,323 = 311,323 : x
  2. Step 2: Convert to fraction form
    201,933/311,323 = 311,323/x
  3. Step 3: Cross multiply
    201,933x = 311,323 × 311,323
  4. Step 4: Simplify right side
    201,933x = 96,922,010,329
  5. Step 5: Solve for x
    x = 96,922,010,329/201,933
  6. Step 6: Final answer
    x = 479,971.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.