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Finding the Third Proportional to 161,023.50 and 215,516.25

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Solution

The third proportional to 161,023.50 and 215,516.25 is: 288,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,023.50 : 215,516.25 = 215,516.25 : x
  2. Step 2: Convert to fraction form
    161,023.50/215,516.25 = 215,516.25/x
  3. Step 3: Cross multiply
    161,023.50x = 215,516.25 × 215,516.25
  4. Step 4: Simplify right side
    161,023.50x = 46,447,254,014.06
  5. Step 5: Solve for x
    x = 46,447,254,014.06/161,023.50
  6. Step 6: Final answer
    x = 288,450.16

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Why These Related Problems?

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