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Finding the Third Proportional to 177,314.06 and 384,768.98

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Solution

The third proportional to 177,314.06 and 384,768.98 is: 834,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.06 : 384,768.98 = 384,768.98 : x
  2. Step 2: Convert to fraction form
    177,314.06/384,768.98 = 384,768.98/x
  3. Step 3: Cross multiply
    177,314.06x = 384,768.98 × 384,768.98
  4. Step 4: Simplify right side
    177,314.06x = 148,047,171,336.97
  5. Step 5: Solve for x
    x = 148,047,171,336.97/177,314.06
  6. Step 6: Final answer
    x = 834,943.20

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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.