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Finding the Third Proportional to 109,741 and 236,438

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Solution

The third proportional to 109,741 and 236,438 is: 509,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,741 : 236,438 = 236,438 : x
  2. Step 2: Convert to fraction form
    109,741/236,438 = 236,438/x
  3. Step 3: Cross multiply
    109,741x = 236,438 × 236,438
  4. Step 4: Simplify right side
    109,741x = 55,902,927,844
  5. Step 5: Solve for x
    x = 55,902,927,844/109,741
  6. Step 6: Final answer
    x = 509,407.86

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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.