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Finding the Third Proportional to 139,844 and 304,519

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Solution

The third proportional to 139,844 and 304,519 is: 663,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,844 : 304,519 = 304,519 : x
  2. Step 2: Convert to fraction form
    139,844/304,519 = 304,519/x
  3. Step 3: Cross multiply
    139,844x = 304,519 × 304,519
  4. Step 4: Simplify right side
    139,844x = 92,731,821,361
  5. Step 5: Solve for x
    x = 92,731,821,361/139,844
  6. Step 6: Final answer
    x = 663,109.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.