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Finding the Third Proportional to 261,174.75 and 393,858

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Solution

The third proportional to 261,174.75 and 393,858 is: 593,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,174.75 : 393,858 = 393,858 : x
  2. Step 2: Convert to fraction form
    261,174.75/393,858 = 393,858/x
  3. Step 3: Cross multiply
    261,174.75x = 393,858 × 393,858
  4. Step 4: Simplify right side
    261,174.75x = 155,124,124,164
  5. Step 5: Solve for x
    x = 155,124,124,164/261,174.75
  6. Step 6: Final answer
    x = 593,947.63

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Why These Related Problems?

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