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Finding the Third Proportional to 190,202 and 294,360

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Solution

The third proportional to 190,202 and 294,360 is: 455,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,202 : 294,360 = 294,360 : x
  2. Step 2: Convert to fraction form
    190,202/294,360 = 294,360/x
  3. Step 3: Cross multiply
    190,202x = 294,360 × 294,360
  4. Step 4: Simplify right side
    190,202x = 86,647,809,600
  5. Step 5: Solve for x
    x = 86,647,809,600/190,202
  6. Step 6: Final answer
    x = 455,556.77

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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.