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Finding the Third Proportional to 133,047 and 295,623

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Solution

The third proportional to 133,047 and 295,623 is: 656,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047 : 295,623 = 295,623 : x
  2. Step 2: Convert to fraction form
    133,047/295,623 = 295,623/x
  3. Step 3: Cross multiply
    133,047x = 295,623 × 295,623
  4. Step 4: Simplify right side
    133,047x = 87,392,958,129
  5. Step 5: Solve for x
    x = 87,392,958,129/133,047
  6. Step 6: Final answer
    x = 656,857.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.