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Finding the Third Proportional to 117,300 and 283,530

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Solution

The third proportional to 117,300 and 283,530 is: 685,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,300 : 283,530 = 283,530 : x
  2. Step 2: Convert to fraction form
    117,300/283,530 = 283,530/x
  3. Step 3: Cross multiply
    117,300x = 283,530 × 283,530
  4. Step 4: Simplify right side
    117,300x = 80,389,260,900
  5. Step 5: Solve for x
    x = 80,389,260,900/117,300
  6. Step 6: Final answer
    x = 685,330.44

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.