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Finding the Third Proportional to 190,166 and 292,324

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Solution

The third proportional to 190,166 and 292,324 is: 449,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,166 : 292,324 = 292,324 : x
  2. Step 2: Convert to fraction form
    190,166/292,324 = 292,324/x
  3. Step 3: Cross multiply
    190,166x = 292,324 × 292,324
  4. Step 4: Simplify right side
    190,166x = 85,453,320,976
  5. Step 5: Solve for x
    x = 85,453,320,976/190,166
  6. Step 6: Final answer
    x = 449,361.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.