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Finding the Third Proportional to 201,204.75 and 418,938

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Solution

The third proportional to 201,204.75 and 418,938 is: 872,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.75 : 418,938 = 418,938 : x
  2. Step 2: Convert to fraction form
    201,204.75/418,938 = 418,938/x
  3. Step 3: Cross multiply
    201,204.75x = 418,938 × 418,938
  4. Step 4: Simplify right side
    201,204.75x = 175,509,047,844
  5. Step 5: Solve for x
    x = 175,509,047,844/201,204.75
  6. Step 6: Final answer
    x = 872,290.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.