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Finding the Third Proportional to 205,672 and 310,695

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Solution

The third proportional to 205,672 and 310,695 is: 469,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,672 : 310,695 = 310,695 : x
  2. Step 2: Convert to fraction form
    205,672/310,695 = 310,695/x
  3. Step 3: Cross multiply
    205,672x = 310,695 × 310,695
  4. Step 4: Simplify right side
    205,672x = 96,531,383,025
  5. Step 5: Solve for x
    x = 96,531,383,025/205,672
  6. Step 6: Final answer
    x = 469,346.26

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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.