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Finding the Third Proportional to 192,496 and 289,584

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Solution

The third proportional to 192,496 and 289,584 is: 435,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,496 : 289,584 = 289,584 : x
  2. Step 2: Convert to fraction form
    192,496/289,584 = 289,584/x
  3. Step 3: Cross multiply
    192,496x = 289,584 × 289,584
  4. Step 4: Simplify right side
    192,496x = 83,858,893,056
  5. Step 5: Solve for x
    x = 83,858,893,056/192,496
  6. Step 6: Final answer
    x = 435,639.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.