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Finding the Third Proportional to 139,740 and 301,612

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Solution

The third proportional to 139,740 and 301,612 is: 650,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,740 : 301,612 = 301,612 : x
  2. Step 2: Convert to fraction form
    139,740/301,612 = 301,612/x
  3. Step 3: Cross multiply
    139,740x = 301,612 × 301,612
  4. Step 4: Simplify right side
    139,740x = 90,969,798,544
  5. Step 5: Solve for x
    x = 90,969,798,544/139,740
  6. Step 6: Final answer
    x = 650,993.26

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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.