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Finding the Third Proportional to 201,085.50 and 298,894.50

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Solution

The third proportional to 201,085.50 and 298,894.50 is: 444,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,085.50 : 298,894.50 = 298,894.50 : x
  2. Step 2: Convert to fraction form
    201,085.50/298,894.50 = 298,894.50/x
  3. Step 3: Cross multiply
    201,085.50x = 298,894.50 × 298,894.50
  4. Step 4: Simplify right side
    201,085.50x = 89,337,922,130.25
  5. Step 5: Solve for x
    x = 89,337,922,130.25/201,085.50
  6. Step 6: Final answer
    x = 444,278.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.