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Finding the Third Proportional to 141,799 and 219,671

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Solution

The third proportional to 141,799 and 219,671 is: 340,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,799 : 219,671 = 219,671 : x
  2. Step 2: Convert to fraction form
    141,799/219,671 = 219,671/x
  3. Step 3: Cross multiply
    141,799x = 219,671 × 219,671
  4. Step 4: Simplify right side
    141,799x = 48,255,348,241
  5. Step 5: Solve for x
    x = 48,255,348,241/141,799
  6. Step 6: Final answer
    x = 340,308.10

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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.