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Finding the Third Proportional to 121,405.50 and 248,823

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Solution

The third proportional to 121,405.50 and 248,823 is: 509,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405.50 : 248,823 = 248,823 : x
  2. Step 2: Convert to fraction form
    121,405.50/248,823 = 248,823/x
  3. Step 3: Cross multiply
    121,405.50x = 248,823 × 248,823
  4. Step 4: Simplify right side
    121,405.50x = 61,912,885,329
  5. Step 5: Solve for x
    x = 61,912,885,329/121,405.50
  6. Step 6: Final answer
    x = 509,967.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.