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Finding the Third Proportional to 177,423.75 and 407,199

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Solution

The third proportional to 177,423.75 and 407,199 is: 934,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,423.75 : 407,199 = 407,199 : x
  2. Step 2: Convert to fraction form
    177,423.75/407,199 = 407,199/x
  3. Step 3: Cross multiply
    177,423.75x = 407,199 × 407,199
  4. Step 4: Simplify right side
    177,423.75x = 165,811,025,601
  5. Step 5: Solve for x
    x = 165,811,025,601/177,423.75
  6. Step 6: Final answer
    x = 934,548.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.