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Finding the Third Proportional to 119,948 and 256,503

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Solution

The third proportional to 119,948 and 256,503 is: 548,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,948 : 256,503 = 256,503 : x
  2. Step 2: Convert to fraction form
    119,948/256,503 = 256,503/x
  3. Step 3: Cross multiply
    119,948x = 256,503 × 256,503
  4. Step 4: Simplify right side
    119,948x = 65,793,789,009
  5. Step 5: Solve for x
    x = 65,793,789,009/119,948
  6. Step 6: Final answer
    x = 548,519.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.