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Finding the Third Proportional to 186,992 and 294,096

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Solution

The third proportional to 186,992 and 294,096 is: 462,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,992 : 294,096 = 294,096 : x
  2. Step 2: Convert to fraction form
    186,992/294,096 = 294,096/x
  3. Step 3: Cross multiply
    186,992x = 294,096 × 294,096
  4. Step 4: Simplify right side
    186,992x = 86,492,457,216
  5. Step 5: Solve for x
    x = 86,492,457,216/186,992
  6. Step 6: Final answer
    x = 462,546.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.