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Finding the Third Proportional to 134,867 and 295,133

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Solution

The third proportional to 134,867 and 295,133 is: 645,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,867 : 295,133 = 295,133 : x
  2. Step 2: Convert to fraction form
    134,867/295,133 = 295,133/x
  3. Step 3: Cross multiply
    134,867x = 295,133 × 295,133
  4. Step 4: Simplify right side
    134,867x = 87,103,487,689
  5. Step 5: Solve for x
    x = 87,103,487,689/134,867
  6. Step 6: Final answer
    x = 645,847.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.