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Finding the Third Proportional to 177,025.50 and 382,198.50

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Solution

The third proportional to 177,025.50 and 382,198.50 is: 825,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,025.50 : 382,198.50 = 382,198.50 : x
  2. Step 2: Convert to fraction form
    177,025.50/382,198.50 = 382,198.50/x
  3. Step 3: Cross multiply
    177,025.50x = 382,198.50 × 382,198.50
  4. Step 4: Simplify right side
    177,025.50x = 146,075,693,402.25
  5. Step 5: Solve for x
    x = 146,075,693,402.25/177,025.50
  6. Step 6: Final answer
    x = 825,167.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.