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Finding the Third Proportional to 177,904.50 and 270,522.75

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Solution

The third proportional to 177,904.50 and 270,522.75 is: 411,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,904.50 : 270,522.75 = 270,522.75 : x
  2. Step 2: Convert to fraction form
    177,904.50/270,522.75 = 270,522.75/x
  3. Step 3: Cross multiply
    177,904.50x = 270,522.75 × 270,522.75
  4. Step 4: Simplify right side
    177,904.50x = 73,182,558,267.56
  5. Step 5: Solve for x
    x = 73,182,558,267.56/177,904.50
  6. Step 6: Final answer
    x = 411,358.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.