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Finding the Third Proportional to 94,912 and 207,680

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Solution

The third proportional to 94,912 and 207,680 is: 454,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,912 : 207,680 = 207,680 : x
  2. Step 2: Convert to fraction form
    94,912/207,680 = 207,680/x
  3. Step 3: Cross multiply
    94,912x = 207,680 × 207,680
  4. Step 4: Simplify right side
    94,912x = 43,130,982,400
  5. Step 5: Solve for x
    x = 43,130,982,400/94,912
  6. Step 6: Final answer
    x = 454,431.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.