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Finding the Third Proportional to 133,432.50 and 208,896.75

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Solution

The third proportional to 133,432.50 and 208,896.75 is: 327,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,432.50 : 208,896.75 = 208,896.75 : x
  2. Step 2: Convert to fraction form
    133,432.50/208,896.75 = 208,896.75/x
  3. Step 3: Cross multiply
    133,432.50x = 208,896.75 × 208,896.75
  4. Step 4: Simplify right side
    133,432.50x = 43,637,852,160.56
  5. Step 5: Solve for x
    x = 43,637,852,160.56/133,432.50
  6. Step 6: Final answer
    x = 327,040.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.