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Finding the Third Proportional to 190,608.19 and 295,138.69

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Solution

The third proportional to 190,608.19 and 295,138.69 is: 456,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,608.19 : 295,138.69 = 295,138.69 : x
  2. Step 2: Convert to fraction form
    190,608.19/295,138.69 = 295,138.69/x
  3. Step 3: Cross multiply
    190,608.19x = 295,138.69 × 295,138.69
  4. Step 4: Simplify right side
    190,608.19x = 87,106,844,859.22
  5. Step 5: Solve for x
    x = 87,106,844,859.22/190,608.19
  6. Step 6: Final answer
    x = 456,994.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.