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Finding the Third Proportional to 144,896 and 299,104

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Solution

The third proportional to 144,896 and 299,104 is: 617,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896 : 299,104 = 299,104 : x
  2. Step 2: Convert to fraction form
    144,896/299,104 = 299,104/x
  3. Step 3: Cross multiply
    144,896x = 299,104 × 299,104
  4. Step 4: Simplify right side
    144,896x = 89,463,202,816
  5. Step 5: Solve for x
    x = 89,463,202,816/144,896
  6. Step 6: Final answer
    x = 617,430.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.