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Finding the Third Proportional to 164,185.50 and 356,394.75

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Solution

The third proportional to 164,185.50 and 356,394.75 is: 773,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,185.50 : 356,394.75 = 356,394.75 : x
  2. Step 2: Convert to fraction form
    164,185.50/356,394.75 = 356,394.75/x
  3. Step 3: Cross multiply
    164,185.50x = 356,394.75 × 356,394.75
  4. Step 4: Simplify right side
    164,185.50x = 127,017,217,827.56
  5. Step 5: Solve for x
    x = 127,017,217,827.56/164,185.50
  6. Step 6: Final answer
    x = 773,620.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.