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Finding the Third Proportional to 141,946.17 and 303,571.55

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Solution

The third proportional to 141,946.17 and 303,571.55 is: 649,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,946.17 : 303,571.55 = 303,571.55 : x
  2. Step 2: Convert to fraction form
    141,946.17/303,571.55 = 303,571.55/x
  3. Step 3: Cross multiply
    141,946.17x = 303,571.55 × 303,571.55
  4. Step 4: Simplify right side
    141,946.17x = 92,155,684,072.08
  5. Step 5: Solve for x
    x = 92,155,684,072.08/141,946.17
  6. Step 6: Final answer
    x = 649,229.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.