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Finding the Third Proportional to 186,728 and 403,096

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Solution

The third proportional to 186,728 and 403,096 is: 870,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,728 : 403,096 = 403,096 : x
  2. Step 2: Convert to fraction form
    186,728/403,096 = 403,096/x
  3. Step 3: Cross multiply
    186,728x = 403,096 × 403,096
  4. Step 4: Simplify right side
    186,728x = 162,486,385,216
  5. Step 5: Solve for x
    x = 162,486,385,216/186,728
  6. Step 6: Final answer
    x = 870,176.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.