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Finding the Third Proportional to 136,502 and 300,004

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Solution

The third proportional to 136,502 and 300,004 is: 659,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,502 : 300,004 = 300,004 : x
  2. Step 2: Convert to fraction form
    136,502/300,004 = 300,004/x
  3. Step 3: Cross multiply
    136,502x = 300,004 × 300,004
  4. Step 4: Simplify right side
    136,502x = 90,002,400,016
  5. Step 5: Solve for x
    x = 90,002,400,016/136,502
  6. Step 6: Final answer
    x = 659,348.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.