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Finding the Third Proportional to 216,793.50 and 308,127.75

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Solution

The third proportional to 216,793.50 and 308,127.75 is: 437,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,793.50 : 308,127.75 = 308,127.75 : x
  2. Step 2: Convert to fraction form
    216,793.50/308,127.75 = 308,127.75/x
  3. Step 3: Cross multiply
    216,793.50x = 308,127.75 × 308,127.75
  4. Step 4: Simplify right side
    216,793.50x = 94,942,710,320.06
  5. Step 5: Solve for x
    x = 94,942,710,320.06/216,793.50
  6. Step 6: Final answer
    x = 437,940.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.