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Finding the Third Proportional to 118,844 and 261,018

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Solution

The third proportional to 118,844 and 261,018 is: 573,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,844 : 261,018 = 261,018 : x
  2. Step 2: Convert to fraction form
    118,844/261,018 = 261,018/x
  3. Step 3: Cross multiply
    118,844x = 261,018 × 261,018
  4. Step 4: Simplify right side
    118,844x = 68,130,396,324
  5. Step 5: Solve for x
    x = 68,130,396,324/118,844
  6. Step 6: Final answer
    x = 573,275.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.