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Finding the Third Proportional to 173,407.50 and 258,936.75

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Solution

The third proportional to 173,407.50 and 258,936.75 is: 386,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,407.50 : 258,936.75 = 258,936.75 : x
  2. Step 2: Convert to fraction form
    173,407.50/258,936.75 = 258,936.75/x
  3. Step 3: Cross multiply
    173,407.50x = 258,936.75 × 258,936.75
  4. Step 4: Simplify right side
    173,407.50x = 67,048,240,500.56
  5. Step 5: Solve for x
    x = 67,048,240,500.56/173,407.50
  6. Step 6: Final answer
    x = 386,651.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.