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Finding the Third Proportional to 190,348 and 295,134

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Solution

The third proportional to 190,348 and 295,134 is: 457,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,348 : 295,134 = 295,134 : x
  2. Step 2: Convert to fraction form
    190,348/295,134 = 295,134/x
  3. Step 3: Cross multiply
    190,348x = 295,134 × 295,134
  4. Step 4: Simplify right side
    190,348x = 87,104,077,956
  5. Step 5: Solve for x
    x = 87,104,077,956/190,348
  6. Step 6: Final answer
    x = 457,604.38

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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.