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Finding the Third Proportional to 150,582 and 220,221

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Solution

The third proportional to 150,582 and 220,221 is: 322,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,582 : 220,221 = 220,221 : x
  2. Step 2: Convert to fraction form
    150,582/220,221 = 220,221/x
  3. Step 3: Cross multiply
    150,582x = 220,221 × 220,221
  4. Step 4: Simplify right side
    150,582x = 48,497,288,841
  5. Step 5: Solve for x
    x = 48,497,288,841/150,582
  6. Step 6: Final answer
    x = 322,065.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.