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Finding the Third Proportional to 139,288.50 and 208,935

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Solution

The third proportional to 139,288.50 and 208,935 is: 313,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,288.50 : 208,935 = 208,935 : x
  2. Step 2: Convert to fraction form
    139,288.50/208,935 = 208,935/x
  3. Step 3: Cross multiply
    139,288.50x = 208,935 × 208,935
  4. Step 4: Simplify right side
    139,288.50x = 43,653,834,225
  5. Step 5: Solve for x
    x = 43,653,834,225/139,288.50
  6. Step 6: Final answer
    x = 313,405.88

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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.