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Finding the Third Proportional to 141,479 and 304,027

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Solution

The third proportional to 141,479 and 304,027 is: 653,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,479 : 304,027 = 304,027 : x
  2. Step 2: Convert to fraction form
    141,479/304,027 = 304,027/x
  3. Step 3: Cross multiply
    141,479x = 304,027 × 304,027
  4. Step 4: Simplify right side
    141,479x = 92,432,416,729
  5. Step 5: Solve for x
    x = 92,432,416,729/141,479
  6. Step 6: Final answer
    x = 653,329.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.