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Finding the Third Proportional to 177,745.50 and 385,011

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Solution

The third proportional to 177,745.50 and 385,011 is: 833,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,745.50 : 385,011 = 385,011 : x
  2. Step 2: Convert to fraction form
    177,745.50/385,011 = 385,011/x
  3. Step 3: Cross multiply
    177,745.50x = 385,011 × 385,011
  4. Step 4: Simplify right side
    177,745.50x = 148,233,470,121
  5. Step 5: Solve for x
    x = 148,233,470,121/177,745.50
  6. Step 6: Final answer
    x = 833,964.69

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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.