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Finding the Third Proportional to 196,313.63 and 407,207.25

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Solution

The third proportional to 196,313.63 and 407,207.25 is: 844,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,313.63 : 407,207.25 = 407,207.25 : x
  2. Step 2: Convert to fraction form
    196,313.63/407,207.25 = 407,207.25/x
  3. Step 3: Cross multiply
    196,313.63x = 407,207.25 × 407,207.25
  4. Step 4: Simplify right side
    196,313.63x = 165,817,744,452.56
  5. Step 5: Solve for x
    x = 165,817,744,452.56/196,313.63
  6. Step 6: Final answer
    x = 844,657.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.