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Finding the Third Proportional to 106,658 and 230,420

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Solution

The third proportional to 106,658 and 230,420 is: 497,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658 : 230,420 = 230,420 : x
  2. Step 2: Convert to fraction form
    106,658/230,420 = 230,420/x
  3. Step 3: Cross multiply
    106,658x = 230,420 × 230,420
  4. Step 4: Simplify right side
    106,658x = 53,093,376,400
  5. Step 5: Solve for x
    x = 53,093,376,400/106,658
  6. Step 6: Final answer
    x = 497,790.85

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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.