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Finding the Third Proportional to 131,614 and 211,956

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Solution

The third proportional to 131,614 and 211,956 is: 341,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,614 : 211,956 = 211,956 : x
  2. Step 2: Convert to fraction form
    131,614/211,956 = 211,956/x
  3. Step 3: Cross multiply
    131,614x = 211,956 × 211,956
  4. Step 4: Simplify right side
    131,614x = 44,925,345,936
  5. Step 5: Solve for x
    x = 44,925,345,936/131,614
  6. Step 6: Final answer
    x = 341,341.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.