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Finding the Third Proportional to 210,205.50 and 325,635

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Solution

The third proportional to 210,205.50 and 325,635 is: 504,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,205.50 : 325,635 = 325,635 : x
  2. Step 2: Convert to fraction form
    210,205.50/325,635 = 325,635/x
  3. Step 3: Cross multiply
    210,205.50x = 325,635 × 325,635
  4. Step 4: Simplify right side
    210,205.50x = 106,038,153,225
  5. Step 5: Solve for x
    x = 106,038,153,225/210,205.50
  6. Step 6: Final answer
    x = 504,449.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.