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Finding the Third Proportional to 146,048 and 208,704

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Solution

The third proportional to 146,048 and 208,704 is: 298,240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,048 : 208,704 = 208,704 : x
  2. Step 2: Convert to fraction form
    146,048/208,704 = 208,704/x
  3. Step 3: Cross multiply
    146,048x = 208,704 × 208,704
  4. Step 4: Simplify right side
    146,048x = 43,557,359,616
  5. Step 5: Solve for x
    x = 43,557,359,616/146,048
  6. Step 6: Final answer
    x = 298,240.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.