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Finding the Third Proportional to 118,856 and 261,037

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Solution

The third proportional to 118,856 and 261,037 is: 573,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,856 : 261,037 = 261,037 : x
  2. Step 2: Convert to fraction form
    118,856/261,037 = 261,037/x
  3. Step 3: Cross multiply
    118,856x = 261,037 × 261,037
  4. Step 4: Simplify right side
    118,856x = 68,140,315,369
  5. Step 5: Solve for x
    x = 68,140,315,369/118,856
  6. Step 6: Final answer
    x = 573,301.44

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