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Finding the Third Proportional to 161,694.56 and 333,762.19

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Solution

The third proportional to 161,694.56 and 333,762.19 is: 688,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,694.56 : 333,762.19 = 333,762.19 : x
  2. Step 2: Convert to fraction form
    161,694.56/333,762.19 = 333,762.19/x
  3. Step 3: Cross multiply
    161,694.56x = 333,762.19 × 333,762.19
  4. Step 4: Simplify right side
    161,694.56x = 111,397,197,804.79
  5. Step 5: Solve for x
    x = 111,397,197,804.79/161,694.56
  6. Step 6: Final answer
    x = 688,935.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.