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Finding the Third Proportional to 134,631 and 283,212

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Solution

The third proportional to 134,631 and 283,212 is: 595,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,631 : 283,212 = 283,212 : x
  2. Step 2: Convert to fraction form
    134,631/283,212 = 283,212/x
  3. Step 3: Cross multiply
    134,631x = 283,212 × 283,212
  4. Step 4: Simplify right side
    134,631x = 80,209,036,944
  5. Step 5: Solve for x
    x = 80,209,036,944/134,631
  6. Step 6: Final answer
    x = 595,769.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.