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Finding the Third Proportional to 162,128.75 and 259,004.75

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Solution

The third proportional to 162,128.75 and 259,004.75 is: 413,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,128.75 : 259,004.75 = 259,004.75 : x
  2. Step 2: Convert to fraction form
    162,128.75/259,004.75 = 259,004.75/x
  3. Step 3: Cross multiply
    162,128.75x = 259,004.75 × 259,004.75
  4. Step 4: Simplify right side
    162,128.75x = 67,083,460,522.56
  5. Step 5: Solve for x
    x = 67,083,460,522.56/162,128.75
  6. Step 6: Final answer
    x = 413,766.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.