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Finding the Third Proportional to 190,674 and 279,634.50

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Solution

The third proportional to 190,674 and 279,634.50 is: 410,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674 : 279,634.50 = 279,634.50 : x
  2. Step 2: Convert to fraction form
    190,674/279,634.50 = 279,634.50/x
  3. Step 3: Cross multiply
    190,674x = 279,634.50 × 279,634.50
  4. Step 4: Simplify right side
    190,674x = 78,195,453,590.25
  5. Step 5: Solve for x
    x = 78,195,453,590.25/190,674
  6. Step 6: Final answer
    x = 410,100.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.