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Finding the Third Proportional to 190,323 and 296,379

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Solution

The third proportional to 190,323 and 296,379 is: 461,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,323 : 296,379 = 296,379 : x
  2. Step 2: Convert to fraction form
    190,323/296,379 = 296,379/x
  3. Step 3: Cross multiply
    190,323x = 296,379 × 296,379
  4. Step 4: Simplify right side
    190,323x = 87,840,511,641
  5. Step 5: Solve for x
    x = 87,840,511,641/190,323
  6. Step 6: Final answer
    x = 461,533.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.