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Finding the Third Proportional to 205,176 and 309,114

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Solution

The third proportional to 205,176 and 309,114 is: 465,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,176 : 309,114 = 309,114 : x
  2. Step 2: Convert to fraction form
    205,176/309,114 = 309,114/x
  3. Step 3: Cross multiply
    205,176x = 309,114 × 309,114
  4. Step 4: Simplify right side
    205,176x = 95,551,464,996
  5. Step 5: Solve for x
    x = 95,551,464,996/205,176
  6. Step 6: Final answer
    x = 465,704.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.