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Finding the Third Proportional to 190,674 and 291,141

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Solution

The third proportional to 190,674 and 291,141 is: 444,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674 : 291,141 = 291,141 : x
  2. Step 2: Convert to fraction form
    190,674/291,141 = 291,141/x
  3. Step 3: Cross multiply
    190,674x = 291,141 × 291,141
  4. Step 4: Simplify right side
    190,674x = 84,763,081,881
  5. Step 5: Solve for x
    x = 84,763,081,881/190,674
  6. Step 6: Final answer
    x = 444,544.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.