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Finding the Third Proportional to 190,148 and 284,628

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Solution

The third proportional to 190,148 and 284,628 is: 426,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,148 : 284,628 = 284,628 : x
  2. Step 2: Convert to fraction form
    190,148/284,628 = 284,628/x
  3. Step 3: Cross multiply
    190,148x = 284,628 × 284,628
  4. Step 4: Simplify right side
    190,148x = 81,013,098,384
  5. Step 5: Solve for x
    x = 81,013,098,384/190,148
  6. Step 6: Final answer
    x = 426,052.86

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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.