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Finding the Third Proportional to 133,544 and 293,968

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Solution

The third proportional to 133,544 and 293,968 is: 647,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,544 : 293,968 = 293,968 : x
  2. Step 2: Convert to fraction form
    133,544/293,968 = 293,968/x
  3. Step 3: Cross multiply
    133,544x = 293,968 × 293,968
  4. Step 4: Simplify right side
    133,544x = 86,417,185,024
  5. Step 5: Solve for x
    x = 86,417,185,024/133,544
  6. Step 6: Final answer
    x = 647,106.46

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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.