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Finding the Third Proportional to 114,066 and 266,533

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Solution

The third proportional to 114,066 and 266,533 is: 622,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,066 : 266,533 = 266,533 : x
  2. Step 2: Convert to fraction form
    114,066/266,533 = 266,533/x
  3. Step 3: Cross multiply
    114,066x = 266,533 × 266,533
  4. Step 4: Simplify right side
    114,066x = 71,039,840,089
  5. Step 5: Solve for x
    x = 71,039,840,089/114,066
  6. Step 6: Final answer
    x = 622,795.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.