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Finding the Third Proportional to 216,053.50 and 311,233

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Solution

The third proportional to 216,053.50 and 311,233 is: 448,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,053.50 : 311,233 = 311,233 : x
  2. Step 2: Convert to fraction form
    216,053.50/311,233 = 311,233/x
  3. Step 3: Cross multiply
    216,053.50x = 311,233 × 311,233
  4. Step 4: Simplify right side
    216,053.50x = 96,865,980,289
  5. Step 5: Solve for x
    x = 96,865,980,289/216,053.50
  6. Step 6: Final answer
    x = 448,342.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.