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Finding the Third Proportional to 190,060 and 300,933

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Solution

The third proportional to 190,060 and 300,933 is: 476,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,060 : 300,933 = 300,933 : x
  2. Step 2: Convert to fraction form
    190,060/300,933 = 300,933/x
  3. Step 3: Cross multiply
    190,060x = 300,933 × 300,933
  4. Step 4: Simplify right side
    190,060x = 90,560,670,489
  5. Step 5: Solve for x
    x = 90,560,670,489/190,060
  6. Step 6: Final answer
    x = 476,484.64

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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.