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Finding the Third Proportional to 138,269 and 301,567

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Solution

The third proportional to 138,269 and 301,567 is: 657,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,269 : 301,567 = 301,567 : x
  2. Step 2: Convert to fraction form
    138,269/301,567 = 301,567/x
  3. Step 3: Cross multiply
    138,269x = 301,567 × 301,567
  4. Step 4: Simplify right side
    138,269x = 90,942,655,489
  5. Step 5: Solve for x
    x = 90,942,655,489/138,269
  6. Step 6: Final answer
    x = 657,722.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.