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Finding the Third Proportional to 190,474 and 301,350

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Solution

The third proportional to 190,474 and 301,350 is: 476,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,474 : 301,350 = 301,350 : x
  2. Step 2: Convert to fraction form
    190,474/301,350 = 301,350/x
  3. Step 3: Cross multiply
    190,474x = 301,350 × 301,350
  4. Step 4: Simplify right side
    190,474x = 90,811,822,500
  5. Step 5: Solve for x
    x = 90,811,822,500/190,474
  6. Step 6: Final answer
    x = 476,767.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.