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Finding the Third Proportional to 235,198.69 and 373,774.50

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Solution

The third proportional to 235,198.69 and 373,774.50 is: 593,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,198.69 : 373,774.50 = 373,774.50 : x
  2. Step 2: Convert to fraction form
    235,198.69/373,774.50 = 373,774.50/x
  3. Step 3: Cross multiply
    235,198.69x = 373,774.50 × 373,774.50
  4. Step 4: Simplify right side
    235,198.69x = 139,707,376,850.25
  5. Step 5: Solve for x
    x = 139,707,376,850.25/235,198.69
  6. Step 6: Final answer
    x = 593,997.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.