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Finding the Third Proportional to 136,814 and 300,600

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Solution

The third proportional to 136,814 and 300,600 is: 660,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,814 : 300,600 = 300,600 : x
  2. Step 2: Convert to fraction form
    136,814/300,600 = 300,600/x
  3. Step 3: Cross multiply
    136,814x = 300,600 × 300,600
  4. Step 4: Simplify right side
    136,814x = 90,360,360,000
  5. Step 5: Solve for x
    x = 90,360,360,000/136,814
  6. Step 6: Final answer
    x = 660,461.36

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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.