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Finding the Third Proportional to 139,660 and 301,460

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Solution

The third proportional to 139,660 and 301,460 is: 650,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,660 : 301,460 = 301,460 : x
  2. Step 2: Convert to fraction form
    139,660/301,460 = 301,460/x
  3. Step 3: Cross multiply
    139,660x = 301,460 × 301,460
  4. Step 4: Simplify right side
    139,660x = 90,878,131,600
  5. Step 5: Solve for x
    x = 90,878,131,600/139,660
  6. Step 6: Final answer
    x = 650,709.81

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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.