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Finding the Third Proportional to 190,102 and 284,582

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Solution

The third proportional to 190,102 and 284,582 is: 426,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,102 : 284,582 = 284,582 : x
  2. Step 2: Convert to fraction form
    190,102/284,582 = 284,582/x
  3. Step 3: Cross multiply
    190,102x = 284,582 × 284,582
  4. Step 4: Simplify right side
    190,102x = 80,986,914,724
  5. Step 5: Solve for x
    x = 80,986,914,724/190,102
  6. Step 6: Final answer
    x = 426,018.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.