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Finding the Third Proportional to 169,684.50 and 335,085.75

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Solution

The third proportional to 169,684.50 and 335,085.75 is: 661,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,684.50 : 335,085.75 = 335,085.75 : x
  2. Step 2: Convert to fraction form
    169,684.50/335,085.75 = 335,085.75/x
  3. Step 3: Cross multiply
    169,684.50x = 335,085.75 × 335,085.75
  4. Step 4: Simplify right side
    169,684.50x = 112,282,459,853.06
  5. Step 5: Solve for x
    x = 112,282,459,853.06/169,684.50
  6. Step 6: Final answer
    x = 661,713.12

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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.