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Finding the Third Proportional to 150,704 and 221,520

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Solution

The third proportional to 150,704 and 221,520 is: 325,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,704 : 221,520 = 221,520 : x
  2. Step 2: Convert to fraction form
    150,704/221,520 = 221,520/x
  3. Step 3: Cross multiply
    150,704x = 221,520 × 221,520
  4. Step 4: Simplify right side
    150,704x = 49,071,110,400
  5. Step 5: Solve for x
    x = 49,071,110,400/150,704
  6. Step 6: Final answer
    x = 325,612.53

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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.