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Finding the Third Proportional to 141,975 and 219,798

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Solution

The third proportional to 141,975 and 219,798 is: 340,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,975 : 219,798 = 219,798 : x
  2. Step 2: Convert to fraction form
    141,975/219,798 = 219,798/x
  3. Step 3: Cross multiply
    141,975x = 219,798 × 219,798
  4. Step 4: Simplify right side
    141,975x = 48,311,160,804
  5. Step 5: Solve for x
    x = 48,311,160,804/141,975
  6. Step 6: Final answer
    x = 340,279.35

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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.