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Finding the Third Proportional to 177,883.88 and 385,292.25

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Solution

The third proportional to 177,883.88 and 385,292.25 is: 834,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,883.88 : 385,292.25 = 385,292.25 : x
  2. Step 2: Convert to fraction form
    177,883.88/385,292.25 = 385,292.25/x
  3. Step 3: Cross multiply
    177,883.88x = 385,292.25 × 385,292.25
  4. Step 4: Simplify right side
    177,883.88x = 148,450,117,910.06
  5. Step 5: Solve for x
    x = 148,450,117,910.06/177,883.88
  6. Step 6: Final answer
    x = 834,533.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.