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Finding the Third Proportional to 136,692 and 295,845

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Solution

The third proportional to 136,692 and 295,845 is: 640,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,692 : 295,845 = 295,845 : x
  2. Step 2: Convert to fraction form
    136,692/295,845 = 295,845/x
  3. Step 3: Cross multiply
    136,692x = 295,845 × 295,845
  4. Step 4: Simplify right side
    136,692x = 87,524,264,025
  5. Step 5: Solve for x
    x = 87,524,264,025/136,692
  6. Step 6: Final answer
    x = 640,302.75

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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.