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Finding the Third Proportional to 109,732 and 235,831

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Solution

The third proportional to 109,732 and 235,831 is: 506,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,732 : 235,831 = 235,831 : x
  2. Step 2: Convert to fraction form
    109,732/235,831 = 235,831/x
  3. Step 3: Cross multiply
    109,732x = 235,831 × 235,831
  4. Step 4: Simplify right side
    109,732x = 55,616,260,561
  5. Step 5: Solve for x
    x = 55,616,260,561/109,732
  6. Step 6: Final answer
    x = 506,837.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.