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Finding the Third Proportional to 139,730 and 301,694

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Solution

The third proportional to 139,730 and 301,694 is: 651,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,730 : 301,694 = 301,694 : x
  2. Step 2: Convert to fraction form
    139,730/301,694 = 301,694/x
  3. Step 3: Cross multiply
    139,730x = 301,694 × 301,694
  4. Step 4: Simplify right side
    139,730x = 91,019,269,636
  5. Step 5: Solve for x
    x = 91,019,269,636/139,730
  6. Step 6: Final answer
    x = 651,393.90

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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.