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Finding the Third Proportional to 106,038 and 230,734

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Solution

The third proportional to 106,038 and 230,734 is: 502,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,038 : 230,734 = 230,734 : x
  2. Step 2: Convert to fraction form
    106,038/230,734 = 230,734/x
  3. Step 3: Cross multiply
    106,038x = 230,734 × 230,734
  4. Step 4: Simplify right side
    106,038x = 53,238,178,756
  5. Step 5: Solve for x
    x = 53,238,178,756/106,038
  6. Step 6: Final answer
    x = 502,066.98

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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.