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Finding the Third Proportional to 134,503 and 303,656

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Solution

The third proportional to 134,503 and 303,656 is: 685,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,503 : 303,656 = 303,656 : x
  2. Step 2: Convert to fraction form
    134,503/303,656 = 303,656/x
  3. Step 3: Cross multiply
    134,503x = 303,656 × 303,656
  4. Step 4: Simplify right side
    134,503x = 92,206,966,336
  5. Step 5: Solve for x
    x = 92,206,966,336/134,503
  6. Step 6: Final answer
    x = 685,538.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.