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Finding the Third Proportional to 134,542.50 and 208,374.75

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Solution

The third proportional to 134,542.50 and 208,374.75 is: 322,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,542.50 : 208,374.75 = 208,374.75 : x
  2. Step 2: Convert to fraction form
    134,542.50/208,374.75 = 208,374.75/x
  3. Step 3: Cross multiply
    134,542.50x = 208,374.75 × 208,374.75
  4. Step 4: Simplify right side
    134,542.50x = 43,420,036,437.56
  5. Step 5: Solve for x
    x = 43,420,036,437.56/134,542.50
  6. Step 6: Final answer
    x = 322,723.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.