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Finding the Third Proportional to 190,094 and 294,242

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Solution

The third proportional to 190,094 and 294,242 is: 455,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,094 : 294,242 = 294,242 : x
  2. Step 2: Convert to fraction form
    190,094/294,242 = 294,242/x
  3. Step 3: Cross multiply
    190,094x = 294,242 × 294,242
  4. Step 4: Simplify right side
    190,094x = 86,578,354,564
  5. Step 5: Solve for x
    x = 86,578,354,564/190,094
  6. Step 6: Final answer
    x = 455,450.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.