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Finding the Third Proportional to 198,078 and 433,584

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Solution

The third proportional to 198,078 and 433,584 is: 949,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,078 : 433,584 = 433,584 : x
  2. Step 2: Convert to fraction form
    198,078/433,584 = 433,584/x
  3. Step 3: Cross multiply
    198,078x = 433,584 × 433,584
  4. Step 4: Simplify right side
    198,078x = 187,995,085,056
  5. Step 5: Solve for x
    x = 187,995,085,056/198,078
  6. Step 6: Final answer
    x = 949,096.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.