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Finding the Third Proportional to 100,467 and 207,468

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Solution

The third proportional to 100,467 and 207,468 is: 428,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467 : 207,468 = 207,468 : x
  2. Step 2: Convert to fraction form
    100,467/207,468 = 207,468/x
  3. Step 3: Cross multiply
    100,467x = 207,468 × 207,468
  4. Step 4: Simplify right side
    100,467x = 43,042,971,024
  5. Step 5: Solve for x
    x = 43,042,971,024/100,467
  6. Step 6: Final answer
    x = 428,428.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.