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Finding the Third Proportional to 131,234.63 and 271,218.38

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Solution

The third proportional to 131,234.63 and 271,218.38 is: 560,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,234.63 : 271,218.38 = 271,218.38 : x
  2. Step 2: Convert to fraction form
    131,234.63/271,218.38 = 271,218.38/x
  3. Step 3: Cross multiply
    131,234.63x = 271,218.38 × 271,218.38
  4. Step 4: Simplify right side
    131,234.63x = 73,559,406,937.64
  5. Step 5: Solve for x
    x = 73,559,406,937.64/131,234.63
  6. Step 6: Final answer
    x = 560,518.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.