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Finding the Third Proportional to 196,187.50 and 436,790

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Solution

The third proportional to 196,187.50 and 436,790 is: 972,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,187.50 : 436,790 = 436,790 : x
  2. Step 2: Convert to fraction form
    196,187.50/436,790 = 436,790/x
  3. Step 3: Cross multiply
    196,187.50x = 436,790 × 436,790
  4. Step 4: Simplify right side
    196,187.50x = 190,785,504,100
  5. Step 5: Solve for x
    x = 190,785,504,100/196,187.50
  6. Step 6: Final answer
    x = 972,465.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.