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Finding the Third Proportional to 116,209 and 245,474

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Solution

The third proportional to 116,209 and 245,474 is: 518,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,209 : 245,474 = 245,474 : x
  2. Step 2: Convert to fraction form
    116,209/245,474 = 245,474/x
  3. Step 3: Cross multiply
    116,209x = 245,474 × 245,474
  4. Step 4: Simplify right side
    116,209x = 60,257,484,676
  5. Step 5: Solve for x
    x = 60,257,484,676/116,209
  6. Step 6: Final answer
    x = 518,526.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.