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Finding the Third Proportional to 196,303.50 and 407,187

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Solution

The third proportional to 196,303.50 and 407,187 is: 844,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,303.50 : 407,187 = 407,187 : x
  2. Step 2: Convert to fraction form
    196,303.50/407,187 = 407,187/x
  3. Step 3: Cross multiply
    196,303.50x = 407,187 × 407,187
  4. Step 4: Simplify right side
    196,303.50x = 165,801,252,969
  5. Step 5: Solve for x
    x = 165,801,252,969/196,303.50
  6. Step 6: Final answer
    x = 844,616.90

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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.