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Finding the Third Proportional to 106,004 and 231,934

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Solution

The third proportional to 106,004 and 231,934 is: 507,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,004 : 231,934 = 231,934 : x
  2. Step 2: Convert to fraction form
    106,004/231,934 = 231,934/x
  3. Step 3: Cross multiply
    106,004x = 231,934 × 231,934
  4. Step 4: Simplify right side
    106,004x = 53,793,380,356
  5. Step 5: Solve for x
    x = 53,793,380,356/106,004
  6. Step 6: Final answer
    x = 507,465.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.