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Finding the Third Proportional to 183,298 and 273,219

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Solution

The third proportional to 183,298 and 273,219 is: 407,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,298 : 273,219 = 273,219 : x
  2. Step 2: Convert to fraction form
    183,298/273,219 = 273,219/x
  3. Step 3: Cross multiply
    183,298x = 273,219 × 273,219
  4. Step 4: Simplify right side
    183,298x = 74,648,621,961
  5. Step 5: Solve for x
    x = 74,648,621,961/183,298
  6. Step 6: Final answer
    x = 407,252.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.