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Finding the Third Proportional to 100,470 and 207,474

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Solution

The third proportional to 100,470 and 207,474 is: 428,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470 : 207,474 = 207,474 : x
  2. Step 2: Convert to fraction form
    100,470/207,474 = 207,474/x
  3. Step 3: Cross multiply
    100,470x = 207,474 × 207,474
  4. Step 4: Simplify right side
    100,470x = 43,045,460,676
  5. Step 5: Solve for x
    x = 43,045,460,676/100,470
  6. Step 6: Final answer
    x = 428,440.93

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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.