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Finding the Third Proportional to 150,943.50 and 210,998.25

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Solution

The third proportional to 150,943.50 and 210,998.25 is: 294,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943.50 : 210,998.25 = 210,998.25 : x
  2. Step 2: Convert to fraction form
    150,943.50/210,998.25 = 210,998.25/x
  3. Step 3: Cross multiply
    150,943.50x = 210,998.25 × 210,998.25
  4. Step 4: Simplify right side
    150,943.50x = 44,520,261,503.06
  5. Step 5: Solve for x
    x = 44,520,261,503.06/150,943.50
  6. Step 6: Final answer
    x = 294,946.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.