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Finding the Third Proportional to 149,683.50 and 323,106.75

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Solution

The third proportional to 149,683.50 and 323,106.75 is: 697,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,683.50 : 323,106.75 = 323,106.75 : x
  2. Step 2: Convert to fraction form
    149,683.50/323,106.75 = 323,106.75/x
  3. Step 3: Cross multiply
    149,683.50x = 323,106.75 × 323,106.75
  4. Step 4: Simplify right side
    149,683.50x = 104,397,971,895.56
  5. Step 5: Solve for x
    x = 104,397,971,895.56/149,683.50
  6. Step 6: Final answer
    x = 697,458.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.