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Finding the Third Proportional to 207,765 and 311,647.50

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Solution

The third proportional to 207,765 and 311,647.50 is: 467,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,765 : 311,647.50 = 311,647.50 : x
  2. Step 2: Convert to fraction form
    207,765/311,647.50 = 311,647.50/x
  3. Step 3: Cross multiply
    207,765x = 311,647.50 × 311,647.50
  4. Step 4: Simplify right side
    207,765x = 97,124,164,256.25
  5. Step 5: Solve for x
    x = 97,124,164,256.25/207,765
  6. Step 6: Final answer
    x = 467,471.25

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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.