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Finding the Third Proportional to 198,782.50 and 441,666.50

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Solution

The third proportional to 198,782.50 and 441,666.50 is: 981,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,782.50 : 441,666.50 = 441,666.50 : x
  2. Step 2: Convert to fraction form
    198,782.50/441,666.50 = 441,666.50/x
  3. Step 3: Cross multiply
    198,782.50x = 441,666.50 × 441,666.50
  4. Step 4: Simplify right side
    198,782.50x = 195,069,297,222.25
  5. Step 5: Solve for x
    x = 195,069,297,222.25/198,782.50
  6. Step 6: Final answer
    x = 981,320.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.