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Finding the Third Proportional to 142,575.75 and 199,329.75

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Solution

The third proportional to 142,575.75 and 199,329.75 is: 278,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,575.75 : 199,329.75 = 199,329.75 : x
  2. Step 2: Convert to fraction form
    142,575.75/199,329.75 = 199,329.75/x
  3. Step 3: Cross multiply
    142,575.75x = 199,329.75 × 199,329.75
  4. Step 4: Simplify right side
    142,575.75x = 39,732,349,235.06
  5. Step 5: Solve for x
    x = 39,732,349,235.06/142,575.75
  6. Step 6: Final answer
    x = 278,675.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.