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Finding the Third Proportional to 202,879 and 296,806.50

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Solution

The third proportional to 202,879 and 296,806.50 is: 434,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,879 : 296,806.50 = 296,806.50 : x
  2. Step 2: Convert to fraction form
    202,879/296,806.50 = 296,806.50/x
  3. Step 3: Cross multiply
    202,879x = 296,806.50 × 296,806.50
  4. Step 4: Simplify right side
    202,879x = 88,094,098,442.25
  5. Step 5: Solve for x
    x = 88,094,098,442.25/202,879
  6. Step 6: Final answer
    x = 434,219.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.