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Finding the Third Proportional to 136,455 and 295,104

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Solution

The third proportional to 136,455 and 295,104 is: 638,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,455 : 295,104 = 295,104 : x
  2. Step 2: Convert to fraction form
    136,455/295,104 = 295,104/x
  3. Step 3: Cross multiply
    136,455x = 295,104 × 295,104
  4. Step 4: Simplify right side
    136,455x = 87,086,370,816
  5. Step 5: Solve for x
    x = 87,086,370,816/136,455
  6. Step 6: Final answer
    x = 638,205.79

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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.