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Finding the Third Proportional to 136,860.75 and 300,366

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Solution

The third proportional to 136,860.75 and 300,366 is: 659,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,860.75 : 300,366 = 300,366 : x
  2. Step 2: Convert to fraction form
    136,860.75/300,366 = 300,366/x
  3. Step 3: Cross multiply
    136,860.75x = 300,366 × 300,366
  4. Step 4: Simplify right side
    136,860.75x = 90,219,733,956
  5. Step 5: Solve for x
    x = 90,219,733,956/136,860.75
  6. Step 6: Final answer
    x = 659,208.24

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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.