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Finding the Third Proportional to 134,078 and 264,772

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Solution

The third proportional to 134,078 and 264,772 is: 522,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,078 : 264,772 = 264,772 : x
  2. Step 2: Convert to fraction form
    134,078/264,772 = 264,772/x
  3. Step 3: Cross multiply
    134,078x = 264,772 × 264,772
  4. Step 4: Simplify right side
    134,078x = 70,104,211,984
  5. Step 5: Solve for x
    x = 70,104,211,984/134,078
  6. Step 6: Final answer
    x = 522,861.41

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.