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Finding the Third Proportional to 164,043.50 and 341,182

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Solution

The third proportional to 164,043.50 and 341,182 is: 709,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043.50 : 341,182 = 341,182 : x
  2. Step 2: Convert to fraction form
    164,043.50/341,182 = 341,182/x
  3. Step 3: Cross multiply
    164,043.50x = 341,182 × 341,182
  4. Step 4: Simplify right side
    164,043.50x = 116,405,157,124
  5. Step 5: Solve for x
    x = 116,405,157,124/164,043.50
  6. Step 6: Final answer
    x = 709,599.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.