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Finding the Third Proportional to 100,492 and 209,254

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Solution

The third proportional to 100,492 and 209,254 is: 435,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492 : 209,254 = 209,254 : x
  2. Step 2: Convert to fraction form
    100,492/209,254 = 209,254/x
  3. Step 3: Cross multiply
    100,492x = 209,254 × 209,254
  4. Step 4: Simplify right side
    100,492x = 43,787,236,516
  5. Step 5: Solve for x
    x = 43,787,236,516/100,492
  6. Step 6: Final answer
    x = 435,728.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.