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Finding the Third Proportional to 186,974 and 400,180

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Solution

The third proportional to 186,974 and 400,180 is: 856,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,974 : 400,180 = 400,180 : x
  2. Step 2: Convert to fraction form
    186,974/400,180 = 400,180/x
  3. Step 3: Cross multiply
    186,974x = 400,180 × 400,180
  4. Step 4: Simplify right side
    186,974x = 160,144,032,400
  5. Step 5: Solve for x
    x = 160,144,032,400/186,974
  6. Step 6: Final answer
    x = 856,504.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.