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Finding the Third Proportional to 116,243 and 246,435

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Solution

The third proportional to 116,243 and 246,435 is: 522,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,243 : 246,435 = 246,435 : x
  2. Step 2: Convert to fraction form
    116,243/246,435 = 246,435/x
  3. Step 3: Cross multiply
    116,243x = 246,435 × 246,435
  4. Step 4: Simplify right side
    116,243x = 60,730,209,225
  5. Step 5: Solve for x
    x = 60,730,209,225/116,243
  6. Step 6: Final answer
    x = 522,441.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.