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Finding the Third Proportional to 233,859 and 342,040.50

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Solution

The third proportional to 233,859 and 342,040.50 is: 500,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,859 : 342,040.50 = 342,040.50 : x
  2. Step 2: Convert to fraction form
    233,859/342,040.50 = 342,040.50/x
  3. Step 3: Cross multiply
    233,859x = 342,040.50 × 342,040.50
  4. Step 4: Simplify right side
    233,859x = 116,991,703,640.25
  5. Step 5: Solve for x
    x = 116,991,703,640.25/233,859
  6. Step 6: Final answer
    x = 500,265.99

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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.