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Finding the Third Proportional to 150,664.50 and 221,076

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Solution

The third proportional to 150,664.50 and 221,076 is: 324,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,664.50 : 221,076 = 221,076 : x
  2. Step 2: Convert to fraction form
    150,664.50/221,076 = 221,076/x
  3. Step 3: Cross multiply
    150,664.50x = 221,076 × 221,076
  4. Step 4: Simplify right side
    150,664.50x = 48,874,597,776
  5. Step 5: Solve for x
    x = 48,874,597,776/150,664.50
  6. Step 6: Final answer
    x = 324,393.59

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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.