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Finding the Third Proportional to 141,885 and 219,692.25

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Solution

The third proportional to 141,885 and 219,692.25 is: 340,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,885 : 219,692.25 = 219,692.25 : x
  2. Step 2: Convert to fraction form
    141,885/219,692.25 = 219,692.25/x
  3. Step 3: Cross multiply
    141,885x = 219,692.25 × 219,692.25
  4. Step 4: Simplify right side
    141,885x = 48,264,684,710.06
  5. Step 5: Solve for x
    x = 48,264,684,710.06/141,885
  6. Step 6: Final answer
    x = 340,167.63

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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.