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Finding the Third Proportional to 177,466.50 and 384,441

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Solution

The third proportional to 177,466.50 and 384,441 is: 832,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,466.50 : 384,441 = 384,441 : x
  2. Step 2: Convert to fraction form
    177,466.50/384,441 = 384,441/x
  3. Step 3: Cross multiply
    177,466.50x = 384,441 × 384,441
  4. Step 4: Simplify right side
    177,466.50x = 147,794,882,481
  5. Step 5: Solve for x
    x = 147,794,882,481/177,466.50
  6. Step 6: Final answer
    x = 832,804.40

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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.