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Finding the Third Proportional to 207,724.50 and 325,392.75

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Solution

The third proportional to 207,724.50 and 325,392.75 is: 509,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,724.50 : 325,392.75 = 325,392.75 : x
  2. Step 2: Convert to fraction form
    207,724.50/325,392.75 = 325,392.75/x
  3. Step 3: Cross multiply
    207,724.50x = 325,392.75 × 325,392.75
  4. Step 4: Simplify right side
    207,724.50x = 105,880,441,752.56
  5. Step 5: Solve for x
    x = 105,880,441,752.56/207,724.50
  6. Step 6: Final answer
    x = 509,715.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.