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Finding the Third Proportional to 207,541.50 and 311,313

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Solution

The third proportional to 207,541.50 and 311,313 is: 466,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,541.50 : 311,313 = 311,313 : x
  2. Step 2: Convert to fraction form
    207,541.50/311,313 = 311,313/x
  3. Step 3: Cross multiply
    207,541.50x = 311,313 × 311,313
  4. Step 4: Simplify right side
    207,541.50x = 96,915,783,969
  5. Step 5: Solve for x
    x = 96,915,783,969/207,541.50
  6. Step 6: Final answer
    x = 466,970.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.