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Finding the Third Proportional to 105,728 and 232,389

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Solution

The third proportional to 105,728 and 232,389 is: 510,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728 : 232,389 = 232,389 : x
  2. Step 2: Convert to fraction form
    105,728/232,389 = 232,389/x
  3. Step 3: Cross multiply
    105,728x = 232,389 × 232,389
  4. Step 4: Simplify right side
    105,728x = 54,004,647,321
  5. Step 5: Solve for x
    x = 54,004,647,321/105,728
  6. Step 6: Final answer
    x = 510,788.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.