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Finding the Third Proportional to 121,326 and 200,454

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Solution

The third proportional to 121,326 and 200,454 is: 331,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,326 : 200,454 = 200,454 : x
  2. Step 2: Convert to fraction form
    121,326/200,454 = 200,454/x
  3. Step 3: Cross multiply
    121,326x = 200,454 × 200,454
  4. Step 4: Simplify right side
    121,326x = 40,181,806,116
  5. Step 5: Solve for x
    x = 40,181,806,116/121,326
  6. Step 6: Final answer
    x = 331,188.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.