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Finding the Third Proportional to 118,967 and 264,178

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Solution

The third proportional to 118,967 and 264,178 is: 586,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,967 : 264,178 = 264,178 : x
  2. Step 2: Convert to fraction form
    118,967/264,178 = 264,178/x
  3. Step 3: Cross multiply
    118,967x = 264,178 × 264,178
  4. Step 4: Simplify right side
    118,967x = 69,790,015,684
  5. Step 5: Solve for x
    x = 69,790,015,684/118,967
  6. Step 6: Final answer
    x = 586,633.40

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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.