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Finding the Third Proportional to 221,433.75 and 324,769.50

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Solution

The third proportional to 221,433.75 and 324,769.50 is: 476,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433.75 : 324,769.50 = 324,769.50 : x
  2. Step 2: Convert to fraction form
    221,433.75/324,769.50 = 324,769.50/x
  3. Step 3: Cross multiply
    221,433.75x = 324,769.50 × 324,769.50
  4. Step 4: Simplify right side
    221,433.75x = 105,475,228,130.25
  5. Step 5: Solve for x
    x = 105,475,228,130.25/221,433.75
  6. Step 6: Final answer
    x = 476,328.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.