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Finding the Third Proportional to 137,201.63 and 215,511.75

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Solution

The third proportional to 137,201.63 and 215,511.75 is: 338,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.63 : 215,511.75 = 215,511.75 : x
  2. Step 2: Convert to fraction form
    137,201.63/215,511.75 = 215,511.75/x
  3. Step 3: Cross multiply
    137,201.63x = 215,511.75 × 215,511.75
  4. Step 4: Simplify right side
    137,201.63x = 46,445,314,388.06
  5. Step 5: Solve for x
    x = 46,445,314,388.06/137,201.63
  6. Step 6: Final answer
    x = 338,518.69

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