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Finding the Third Proportional to 215,268 and 295,506

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Solution

The third proportional to 215,268 and 295,506 is: 405,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,268 : 295,506 = 295,506 : x
  2. Step 2: Convert to fraction form
    215,268/295,506 = 295,506/x
  3. Step 3: Cross multiply
    215,268x = 295,506 × 295,506
  4. Step 4: Simplify right side
    215,268x = 87,323,796,036
  5. Step 5: Solve for x
    x = 87,323,796,036/215,268
  6. Step 6: Final answer
    x = 405,651.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.