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Finding the Third Proportional to 133,120 and 289,568

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Solution

The third proportional to 133,120 and 289,568 is: 629,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,120 : 289,568 = 289,568 : x
  2. Step 2: Convert to fraction form
    133,120/289,568 = 289,568/x
  3. Step 3: Cross multiply
    133,120x = 289,568 × 289,568
  4. Step 4: Simplify right side
    133,120x = 83,849,626,624
  5. Step 5: Solve for x
    x = 83,849,626,624/133,120
  6. Step 6: Final answer
    x = 629,880.01

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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.