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Finding the Third Proportional to 243,811 and 323,511

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Solution

The third proportional to 243,811 and 323,511 is: 429,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,811 : 323,511 = 323,511 : x
  2. Step 2: Convert to fraction form
    243,811/323,511 = 323,511/x
  3. Step 3: Cross multiply
    243,811x = 323,511 × 323,511
  4. Step 4: Simplify right side
    243,811x = 104,659,367,121
  5. Step 5: Solve for x
    x = 104,659,367,121/243,811
  6. Step 6: Final answer
    x = 429,264.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.