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Finding the Third Proportional to 94,614 and 207,372

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Solution

The third proportional to 94,614 and 207,372 is: 454,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,614 : 207,372 = 207,372 : x
  2. Step 2: Convert to fraction form
    94,614/207,372 = 207,372/x
  3. Step 3: Cross multiply
    94,614x = 207,372 × 207,372
  4. Step 4: Simplify right side
    94,614x = 43,003,146,384
  5. Step 5: Solve for x
    x = 43,003,146,384/94,614
  6. Step 6: Final answer
    x = 454,511.45

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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.