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Finding the Third Proportional to 169,683.75 and 335,083.50

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Solution

The third proportional to 169,683.75 and 335,083.50 is: 661,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,683.75 : 335,083.50 = 335,083.50 : x
  2. Step 2: Convert to fraction form
    169,683.75/335,083.50 = 335,083.50/x
  3. Step 3: Cross multiply
    169,683.75x = 335,083.50 × 335,083.50
  4. Step 4: Simplify right side
    169,683.75x = 112,280,951,972.25
  5. Step 5: Solve for x
    x = 112,280,951,972.25/169,683.75
  6. Step 6: Final answer
    x = 661,707.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.