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Finding the Third Proportional to 150,561.75 and 221,680.50

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Solution

The third proportional to 150,561.75 and 221,680.50 is: 326,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,561.75 : 221,680.50 = 221,680.50 : x
  2. Step 2: Convert to fraction form
    150,561.75/221,680.50 = 221,680.50/x
  3. Step 3: Cross multiply
    150,561.75x = 221,680.50 × 221,680.50
  4. Step 4: Simplify right side
    150,561.75x = 49,142,244,080.25
  5. Step 5: Solve for x
    x = 49,142,244,080.25/150,561.75
  6. Step 6: Final answer
    x = 326,392.62

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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.