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Finding the Third Proportional to 164,784.75 and 354,409.50

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Solution

The third proportional to 164,784.75 and 354,409.50 is: 762,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,784.75 : 354,409.50 = 354,409.50 : x
  2. Step 2: Convert to fraction form
    164,784.75/354,409.50 = 354,409.50/x
  3. Step 3: Cross multiply
    164,784.75x = 354,409.50 × 354,409.50
  4. Step 4: Simplify right side
    164,784.75x = 125,606,093,690.25
  5. Step 5: Solve for x
    x = 125,606,093,690.25/164,784.75
  6. Step 6: Final answer
    x = 762,243.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.