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Finding the Third Proportional to 176,830.50 and 381,912

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Solution

The third proportional to 176,830.50 and 381,912 is: 824,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,830.50 : 381,912 = 381,912 : x
  2. Step 2: Convert to fraction form
    176,830.50/381,912 = 381,912/x
  3. Step 3: Cross multiply
    176,830.50x = 381,912 × 381,912
  4. Step 4: Simplify right side
    176,830.50x = 145,856,775,744
  5. Step 5: Solve for x
    x = 145,856,775,744/176,830.50
  6. Step 6: Final answer
    x = 824,839.47

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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.