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Finding the Third Proportional to 134,098 and 264,773

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Solution

The third proportional to 134,098 and 264,773 is: 522,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,098 : 264,773 = 264,773 : x
  2. Step 2: Convert to fraction form
    134,098/264,773 = 264,773/x
  3. Step 3: Cross multiply
    134,098x = 264,773 × 264,773
  4. Step 4: Simplify right side
    134,098x = 70,104,741,529
  5. Step 5: Solve for x
    x = 70,104,741,529/134,098
  6. Step 6: Final answer
    x = 522,787.38

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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.