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Finding the Third Proportional to 163,467.75 and 344,683.50

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Solution

The third proportional to 163,467.75 and 344,683.50 is: 726,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,467.75 : 344,683.50 = 344,683.50 : x
  2. Step 2: Convert to fraction form
    163,467.75/344,683.50 = 344,683.50/x
  3. Step 3: Cross multiply
    163,467.75x = 344,683.50 × 344,683.50
  4. Step 4: Simplify right side
    163,467.75x = 118,806,715,172.25
  5. Step 5: Solve for x
    x = 118,806,715,172.25/163,467.75
  6. Step 6: Final answer
    x = 726,789.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.