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Finding the Third Proportional to 161,694 and 333,769.50

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Solution

The third proportional to 161,694 and 333,769.50 is: 688,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,694 : 333,769.50 = 333,769.50 : x
  2. Step 2: Convert to fraction form
    161,694/333,769.50 = 333,769.50/x
  3. Step 3: Cross multiply
    161,694x = 333,769.50 × 333,769.50
  4. Step 4: Simplify right side
    161,694x = 111,402,079,130.25
  5. Step 5: Solve for x
    x = 111,402,079,130.25/161,694
  6. Step 6: Final answer
    x = 688,968.54

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