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Finding the Third Proportional to 109,510 and 235,381

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Solution

The third proportional to 109,510 and 235,381 is: 505,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,510 : 235,381 = 235,381 : x
  2. Step 2: Convert to fraction form
    109,510/235,381 = 235,381/x
  3. Step 3: Cross multiply
    109,510x = 235,381 × 235,381
  4. Step 4: Simplify right side
    109,510x = 55,404,215,161
  5. Step 5: Solve for x
    x = 55,404,215,161/109,510
  6. Step 6: Final answer
    x = 505,928.36

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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.