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Finding the Third Proportional to 100,280 and 150,442

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Solution

The third proportional to 100,280 and 150,442 is: 225,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,280 : 150,442 = 150,442 : x
  2. Step 2: Convert to fraction form
    100,280/150,442 = 150,442/x
  3. Step 3: Cross multiply
    100,280x = 150,442 × 150,442
  4. Step 4: Simplify right side
    100,280x = 22,632,795,364
  5. Step 5: Solve for x
    x = 22,632,795,364/100,280
  6. Step 6: Final answer
    x = 225,696.00

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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.