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Finding the Third Proportional to 100,352 and 207,264

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Solution

The third proportional to 100,352 and 207,264 is: 428,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,352 : 207,264 = 207,264 : x
  2. Step 2: Convert to fraction form
    100,352/207,264 = 207,264/x
  3. Step 3: Cross multiply
    100,352x = 207,264 × 207,264
  4. Step 4: Simplify right side
    100,352x = 42,958,365,696
  5. Step 5: Solve for x
    x = 42,958,365,696/100,352
  6. Step 6: Final answer
    x = 428,076.83

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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.