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Finding the Third Proportional to 198,468 and 426,888

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Solution

The third proportional to 198,468 and 426,888 is: 918,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,468 : 426,888 = 426,888 : x
  2. Step 2: Convert to fraction form
    198,468/426,888 = 426,888/x
  3. Step 3: Cross multiply
    198,468x = 426,888 × 426,888
  4. Step 4: Simplify right side
    198,468x = 182,233,364,544
  5. Step 5: Solve for x
    x = 182,233,364,544/198,468
  6. Step 6: Final answer
    x = 918,200.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.