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Finding the Third Proportional to 133,066 and 295,651

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Solution

The third proportional to 133,066 and 295,651 is: 656,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066 : 295,651 = 295,651 : x
  2. Step 2: Convert to fraction form
    133,066/295,651 = 295,651/x
  3. Step 3: Cross multiply
    133,066x = 295,651 × 295,651
  4. Step 4: Simplify right side
    133,066x = 87,409,513,801
  5. Step 5: Solve for x
    x = 87,409,513,801/133,066
  6. Step 6: Final answer
    x = 656,888.41

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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.