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Finding the Third Proportional to 109,406 and 235,444

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Solution

The third proportional to 109,406 and 235,444 is: 506,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,406 : 235,444 = 235,444 : x
  2. Step 2: Convert to fraction form
    109,406/235,444 = 235,444/x
  3. Step 3: Cross multiply
    109,406x = 235,444 × 235,444
  4. Step 4: Simplify right side
    109,406x = 55,433,877,136
  5. Step 5: Solve for x
    x = 55,433,877,136/109,406
  6. Step 6: Final answer
    x = 506,680.41

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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.