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Finding the Third Proportional to 122,336 and 269,507

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Solution

The third proportional to 122,336 and 269,507 is: 593,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,336 : 269,507 = 269,507 : x
  2. Step 2: Convert to fraction form
    122,336/269,507 = 269,507/x
  3. Step 3: Cross multiply
    122,336x = 269,507 × 269,507
  4. Step 4: Simplify right side
    122,336x = 72,634,023,049
  5. Step 5: Solve for x
    x = 72,634,023,049/122,336
  6. Step 6: Final answer
    x = 593,725.67

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Why These Related Problems?

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