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Finding the Third Proportional to 118,709 and 241,814

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Solution

The third proportional to 118,709 and 241,814 is: 492,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709 : 241,814 = 241,814 : x
  2. Step 2: Convert to fraction form
    118,709/241,814 = 241,814/x
  3. Step 3: Cross multiply
    118,709x = 241,814 × 241,814
  4. Step 4: Simplify right side
    118,709x = 58,474,010,596
  5. Step 5: Solve for x
    x = 58,474,010,596/118,709
  6. Step 6: Final answer
    x = 492,582.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.