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Finding the Third Proportional to 139,323 and 208,660.50

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Solution

The third proportional to 139,323 and 208,660.50 is: 312,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,323 : 208,660.50 = 208,660.50 : x
  2. Step 2: Convert to fraction form
    139,323/208,660.50 = 208,660.50/x
  3. Step 3: Cross multiply
    139,323x = 208,660.50 × 208,660.50
  4. Step 4: Simplify right side
    139,323x = 43,539,204,260.25
  5. Step 5: Solve for x
    x = 43,539,204,260.25/139,323
  6. Step 6: Final answer
    x = 312,505.50

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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.