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Finding the Third Proportional to 141,955 and 219,766

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Solution

The third proportional to 141,955 and 219,766 is: 340,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,955 : 219,766 = 219,766 : x
  2. Step 2: Convert to fraction form
    141,955/219,766 = 219,766/x
  3. Step 3: Cross multiply
    141,955x = 219,766 × 219,766
  4. Step 4: Simplify right side
    141,955x = 48,297,094,756
  5. Step 5: Solve for x
    x = 48,297,094,756/141,955
  6. Step 6: Final answer
    x = 340,228.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.