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Finding the Third Proportional to 105,884 and 232,516

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Solution

The third proportional to 105,884 and 232,516 is: 510,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,884 : 232,516 = 232,516 : x
  2. Step 2: Convert to fraction form
    105,884/232,516 = 232,516/x
  3. Step 3: Cross multiply
    105,884x = 232,516 × 232,516
  4. Step 4: Simplify right side
    105,884x = 54,063,690,256
  5. Step 5: Solve for x
    x = 54,063,690,256/105,884
  6. Step 6: Final answer
    x = 510,593.58

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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.