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Finding the Third Proportional to 114,284 and 166,958

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Solution

The third proportional to 114,284 and 166,958 is: 243,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,284 : 166,958 = 166,958 : x
  2. Step 2: Convert to fraction form
    114,284/166,958 = 166,958/x
  3. Step 3: Cross multiply
    114,284x = 166,958 × 166,958
  4. Step 4: Simplify right side
    114,284x = 27,874,973,764
  5. Step 5: Solve for x
    x = 27,874,973,764/114,284
  6. Step 6: Final answer
    x = 243,909.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.