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Finding the Third Proportional to 131,172 and 283,080

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Solution

The third proportional to 131,172 and 283,080 is: 610,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,172 : 283,080 = 283,080 : x
  2. Step 2: Convert to fraction form
    131,172/283,080 = 283,080/x
  3. Step 3: Cross multiply
    131,172x = 283,080 × 283,080
  4. Step 4: Simplify right side
    131,172x = 80,134,286,400
  5. Step 5: Solve for x
    x = 80,134,286,400/131,172
  6. Step 6: Final answer
    x = 610,910.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.