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Finding the Third Proportional to 169,358.50 and 259,893.50

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Solution

The third proportional to 169,358.50 and 259,893.50 is: 398,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,358.50 : 259,893.50 = 259,893.50 : x
  2. Step 2: Convert to fraction form
    169,358.50/259,893.50 = 259,893.50/x
  3. Step 3: Cross multiply
    169,358.50x = 259,893.50 × 259,893.50
  4. Step 4: Simplify right side
    169,358.50x = 67,544,631,342.25
  5. Step 5: Solve for x
    x = 67,544,631,342.25/169,358.50
  6. Step 6: Final answer
    x = 398,826.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.