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Finding the Third Proportional to 153,489 and 313,219

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Solution

The third proportional to 153,489 and 313,219 is: 639,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,489 : 313,219 = 313,219 : x
  2. Step 2: Convert to fraction form
    153,489/313,219 = 313,219/x
  3. Step 3: Cross multiply
    153,489x = 313,219 × 313,219
  4. Step 4: Simplify right side
    153,489x = 98,106,141,961
  5. Step 5: Solve for x
    x = 98,106,141,961/153,489
  6. Step 6: Final answer
    x = 639,173.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.