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Finding the Third Proportional to 176,883.75 and 381,788.44

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Solution

The third proportional to 176,883.75 and 381,788.44 is: 824,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,883.75 : 381,788.44 = 381,788.44 : x
  2. Step 2: Convert to fraction form
    176,883.75/381,788.44 = 381,788.44/x
  3. Step 3: Cross multiply
    176,883.75x = 381,788.44 × 381,788.44
  4. Step 4: Simplify right side
    176,883.75x = 145,762,411,008.69
  5. Step 5: Solve for x
    x = 145,762,411,008.69/176,883.75
  6. Step 6: Final answer
    x = 824,057.67

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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.