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Finding the Third Proportional to 132,589 and 209,955

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Solution

The third proportional to 132,589 and 209,955 is: 332,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,589 : 209,955 = 209,955 : x
  2. Step 2: Convert to fraction form
    132,589/209,955 = 209,955/x
  3. Step 3: Cross multiply
    132,589x = 209,955 × 209,955
  4. Step 4: Simplify right side
    132,589x = 44,081,102,025
  5. Step 5: Solve for x
    x = 44,081,102,025/132,589
  6. Step 6: Final answer
    x = 332,464.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.