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Finding the Third Proportional to 114,066 and 235,364

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Solution

The third proportional to 114,066 and 235,364 is: 485,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,066 : 235,364 = 235,364 : x
  2. Step 2: Convert to fraction form
    114,066/235,364 = 235,364/x
  3. Step 3: Cross multiply
    114,066x = 235,364 × 235,364
  4. Step 4: Simplify right side
    114,066x = 55,396,212,496
  5. Step 5: Solve for x
    x = 55,396,212,496/114,066
  6. Step 6: Final answer
    x = 485,650.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.