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Finding the Third Proportional to 133,548 and 293,976

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Solution

The third proportional to 133,548 and 293,976 is: 647,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,548 : 293,976 = 293,976 : x
  2. Step 2: Convert to fraction form
    133,548/293,976 = 293,976/x
  3. Step 3: Cross multiply
    133,548x = 293,976 × 293,976
  4. Step 4: Simplify right side
    133,548x = 86,421,888,576
  5. Step 5: Solve for x
    x = 86,421,888,576/133,548
  6. Step 6: Final answer
    x = 647,122.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.