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Finding the Third Proportional to 141,853.50 and 219,944.25

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Solution

The third proportional to 141,853.50 and 219,944.25 is: 341,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,853.50 : 219,944.25 = 219,944.25 : x
  2. Step 2: Convert to fraction form
    141,853.50/219,944.25 = 219,944.25/x
  3. Step 3: Cross multiply
    141,853.50x = 219,944.25 × 219,944.25
  4. Step 4: Simplify right side
    141,853.50x = 48,375,473,108.06
  5. Step 5: Solve for x
    x = 48,375,473,108.06/141,853.50
  6. Step 6: Final answer
    x = 341,024.18

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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.