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Finding the Third Proportional to 190,104 and 294,324

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Solution

The third proportional to 190,104 and 294,324 is: 455,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,104 : 294,324 = 294,324 : x
  2. Step 2: Convert to fraction form
    190,104/294,324 = 294,324/x
  3. Step 3: Cross multiply
    190,104x = 294,324 × 294,324
  4. Step 4: Simplify right side
    190,104x = 86,626,616,976
  5. Step 5: Solve for x
    x = 86,626,616,976/190,104
  6. Step 6: Final answer
    x = 455,680.14

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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.