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Finding the Third Proportional to 109,656 and 234,880

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Solution

The third proportional to 109,656 and 234,880 is: 503,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,656 : 234,880 = 234,880 : x
  2. Step 2: Convert to fraction form
    109,656/234,880 = 234,880/x
  3. Step 3: Cross multiply
    109,656x = 234,880 × 234,880
  4. Step 4: Simplify right side
    109,656x = 55,168,614,400
  5. Step 5: Solve for x
    x = 55,168,614,400/109,656
  6. Step 6: Final answer
    x = 503,106.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.