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Finding the Third Proportional to 198,358.88 and 426,546

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Solution

The third proportional to 198,358.88 and 426,546 is: 917,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,358.88 : 426,546 = 426,546 : x
  2. Step 2: Convert to fraction form
    198,358.88/426,546 = 426,546/x
  3. Step 3: Cross multiply
    198,358.88x = 426,546 × 426,546
  4. Step 4: Simplify right side
    198,358.88x = 181,941,490,116
  5. Step 5: Solve for x
    x = 181,941,490,116/198,358.88
  6. Step 6: Final answer
    x = 917,233.93

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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.