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Finding the Third Proportional to 190,650.38 and 414,500.63

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Solution

The third proportional to 190,650.38 and 414,500.63 is: 901,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,650.38 : 414,500.63 = 414,500.63 : x
  2. Step 2: Convert to fraction form
    190,650.38/414,500.63 = 414,500.63/x
  3. Step 3: Cross multiply
    190,650.38x = 414,500.63 × 414,500.63
  4. Step 4: Simplify right side
    190,650.38x = 171,810,768,125.39
  5. Step 5: Solve for x
    x = 171,810,768,125.39/190,650.38
  6. Step 6: Final answer
    x = 901,182.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.