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Finding the Third Proportional to 133,560 and 293,904

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Solution

The third proportional to 133,560 and 293,904 is: 646,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,560 : 293,904 = 293,904 : x
  2. Step 2: Convert to fraction form
    133,560/293,904 = 293,904/x
  3. Step 3: Cross multiply
    133,560x = 293,904 × 293,904
  4. Step 4: Simplify right side
    133,560x = 86,379,561,216
  5. Step 5: Solve for x
    x = 86,379,561,216/133,560
  6. Step 6: Final answer
    x = 646,747.24

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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.