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Finding the Third Proportional to 196,224.75 and 423,819

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Solution

The third proportional to 196,224.75 and 423,819 is: 915,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224.75 : 423,819 = 423,819 : x
  2. Step 2: Convert to fraction form
    196,224.75/423,819 = 423,819/x
  3. Step 3: Cross multiply
    196,224.75x = 423,819 × 423,819
  4. Step 4: Simplify right side
    196,224.75x = 179,622,544,761
  5. Step 5: Solve for x
    x = 179,622,544,761/196,224.75
  6. Step 6: Final answer
    x = 915,391.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.