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Finding the Third Proportional to 232,636.50 and 350,898.75

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Solution

The third proportional to 232,636.50 and 350,898.75 is: 529,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,636.50 : 350,898.75 = 350,898.75 : x
  2. Step 2: Convert to fraction form
    232,636.50/350,898.75 = 350,898.75/x
  3. Step 3: Cross multiply
    232,636.50x = 350,898.75 × 350,898.75
  4. Step 4: Simplify right side
    232,636.50x = 123,129,932,751.56
  5. Step 5: Solve for x
    x = 123,129,932,751.56/232,636.50
  6. Step 6: Final answer
    x = 529,280.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.