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Finding the Third Proportional to 186,792.75 and 262,109.25

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Solution

The third proportional to 186,792.75 and 262,109.25 is: 367,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,792.75 : 262,109.25 = 262,109.25 : x
  2. Step 2: Convert to fraction form
    186,792.75/262,109.25 = 262,109.25/x
  3. Step 3: Cross multiply
    186,792.75x = 262,109.25 × 262,109.25
  4. Step 4: Simplify right side
    186,792.75x = 68,701,258,935.56
  5. Step 5: Solve for x
    x = 68,701,258,935.56/186,792.75
  6. Step 6: Final answer
    x = 367,794.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.