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Finding the Third Proportional to 161,358.75 and 215,516.25

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Solution

The third proportional to 161,358.75 and 215,516.25 is: 287,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,358.75 : 215,516.25 = 215,516.25 : x
  2. Step 2: Convert to fraction form
    161,358.75/215,516.25 = 215,516.25/x
  3. Step 3: Cross multiply
    161,358.75x = 215,516.25 × 215,516.25
  4. Step 4: Simplify right side
    161,358.75x = 46,447,254,014.06
  5. Step 5: Solve for x
    x = 46,447,254,014.06/161,358.75
  6. Step 6: Final answer
    x = 287,850.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.