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Finding the Third Proportional to 133,066 and 296,164

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Solution

The third proportional to 133,066 and 296,164 is: 659,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066 : 296,164 = 296,164 : x
  2. Step 2: Convert to fraction form
    133,066/296,164 = 296,164/x
  3. Step 3: Cross multiply
    133,066x = 296,164 × 296,164
  4. Step 4: Simplify right side
    133,066x = 87,713,114,896
  5. Step 5: Solve for x
    x = 87,713,114,896/133,066
  6. Step 6: Final answer
    x = 659,170.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.