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Finding the Third Proportional to 258,601.50 and 388,215

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Solution

The third proportional to 258,601.50 and 388,215 is: 582,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,601.50 : 388,215 = 388,215 : x
  2. Step 2: Convert to fraction form
    258,601.50/388,215 = 388,215/x
  3. Step 3: Cross multiply
    258,601.50x = 388,215 × 388,215
  4. Step 4: Simplify right side
    258,601.50x = 150,710,886,225
  5. Step 5: Solve for x
    x = 150,710,886,225/258,601.50
  6. Step 6: Final answer
    x = 582,792.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.