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Finding the Third Proportional to 163,802.25 and 336,615.75

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Solution

The third proportional to 163,802.25 and 336,615.75 is: 691,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,802.25 : 336,615.75 = 336,615.75 : x
  2. Step 2: Convert to fraction form
    163,802.25/336,615.75 = 336,615.75/x
  3. Step 3: Cross multiply
    163,802.25x = 336,615.75 × 336,615.75
  4. Step 4: Simplify right side
    163,802.25x = 113,310,163,148.06
  5. Step 5: Solve for x
    x = 113,310,163,148.06/163,802.25
  6. Step 6: Final answer
    x = 691,749.74

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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.