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Finding the Third Proportional to 139,760 and 301,651

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Solution

The third proportional to 139,760 and 301,651 is: 651,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,760 : 301,651 = 301,651 : x
  2. Step 2: Convert to fraction form
    139,760/301,651 = 301,651/x
  3. Step 3: Cross multiply
    139,760x = 301,651 × 301,651
  4. Step 4: Simplify right side
    139,760x = 90,993,325,801
  5. Step 5: Solve for x
    x = 90,993,325,801/139,760
  6. Step 6: Final answer
    x = 651,068.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.