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Finding the Third Proportional to 106,195 and 231,709

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Solution

The third proportional to 106,195 and 231,709 is: 505,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195 : 231,709 = 231,709 : x
  2. Step 2: Convert to fraction form
    106,195/231,709 = 231,709/x
  3. Step 3: Cross multiply
    106,195x = 231,709 × 231,709
  4. Step 4: Simplify right side
    106,195x = 53,689,060,681
  5. Step 5: Solve for x
    x = 53,689,060,681/106,195
  6. Step 6: Final answer
    x = 505,570.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.