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Finding the Third Proportional to 142,772.63 and 338,235.75

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Solution

The third proportional to 142,772.63 and 338,235.75 is: 801,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,772.63 : 338,235.75 = 338,235.75 : x
  2. Step 2: Convert to fraction form
    142,772.63/338,235.75 = 338,235.75/x
  3. Step 3: Cross multiply
    142,772.63x = 338,235.75 × 338,235.75
  4. Step 4: Simplify right side
    142,772.63x = 114,403,422,578.06
  5. Step 5: Solve for x
    x = 114,403,422,578.06/142,772.63
  6. Step 6: Final answer
    x = 801,298.03

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.