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Finding the Third Proportional to 131,840 and 273,026

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Solution

The third proportional to 131,840 and 273,026 is: 565,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,840 : 273,026 = 273,026 : x
  2. Step 2: Convert to fraction form
    131,840/273,026 = 273,026/x
  3. Step 3: Cross multiply
    131,840x = 273,026 × 273,026
  4. Step 4: Simplify right side
    131,840x = 74,543,196,676
  5. Step 5: Solve for x
    x = 74,543,196,676/131,840
  6. Step 6: Final answer
    x = 565,406.53

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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.