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Finding the Third Proportional to 139,130 and 300,004

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Solution

The third proportional to 139,130 and 300,004 is: 646,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,130 : 300,004 = 300,004 : x
  2. Step 2: Convert to fraction form
    139,130/300,004 = 300,004/x
  3. Step 3: Cross multiply
    139,130x = 300,004 × 300,004
  4. Step 4: Simplify right side
    139,130x = 90,002,400,016
  5. Step 5: Solve for x
    x = 90,002,400,016/139,130
  6. Step 6: Final answer
    x = 646,894.27

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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.