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Finding the Third Proportional to 141,832 and 209,948

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Solution

The third proportional to 141,832 and 209,948 is: 310,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,832 : 209,948 = 209,948 : x
  2. Step 2: Convert to fraction form
    141,832/209,948 = 209,948/x
  3. Step 3: Cross multiply
    141,832x = 209,948 × 209,948
  4. Step 4: Simplify right side
    141,832x = 44,078,162,704
  5. Step 5: Solve for x
    x = 44,078,162,704/141,832
  6. Step 6: Final answer
    x = 310,777.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.