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Finding the Third Proportional to 116,826 and 273,597

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Solution

The third proportional to 116,826 and 273,597 is: 640,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,826 : 273,597 = 273,597 : x
  2. Step 2: Convert to fraction form
    116,826/273,597 = 273,597/x
  3. Step 3: Cross multiply
    116,826x = 273,597 × 273,597
  4. Step 4: Simplify right side
    116,826x = 74,855,318,409
  5. Step 5: Solve for x
    x = 74,855,318,409/116,826
  6. Step 6: Final answer
    x = 640,741.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.