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Finding the Third Proportional to 212,566 and 325,546

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Solution

The third proportional to 212,566 and 325,546 is: 498,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,566 : 325,546 = 325,546 : x
  2. Step 2: Convert to fraction form
    212,566/325,546 = 325,546/x
  3. Step 3: Cross multiply
    212,566x = 325,546 × 325,546
  4. Step 4: Simplify right side
    212,566x = 105,980,198,116
  5. Step 5: Solve for x
    x = 105,980,198,116/212,566
  6. Step 6: Final answer
    x = 498,575.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.