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Finding the Third Proportional to 207,756 and 325,446

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Solution

The third proportional to 207,756 and 325,446 is: 509,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,756 : 325,446 = 325,446 : x
  2. Step 2: Convert to fraction form
    207,756/325,446 = 325,446/x
  3. Step 3: Cross multiply
    207,756x = 325,446 × 325,446
  4. Step 4: Simplify right side
    207,756x = 105,915,098,916
  5. Step 5: Solve for x
    x = 105,915,098,916/207,756
  6. Step 6: Final answer
    x = 509,805.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.