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Finding the Third Proportional to 190,155.09 and 284,640.33

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Solution

The third proportional to 190,155.09 and 284,640.33 is: 426,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,155.09 : 284,640.33 = 284,640.33 : x
  2. Step 2: Convert to fraction form
    190,155.09/284,640.33 = 284,640.33/x
  3. Step 3: Cross multiply
    190,155.09x = 284,640.33 × 284,640.33
  4. Step 4: Simplify right side
    190,155.09x = 81,020,116,395.11
  5. Step 5: Solve for x
    x = 81,020,116,395.11/190,155.09
  6. Step 6: Final answer
    x = 426,073.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.