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Finding the Third Proportional to 128,416.50 and 276,597

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Solution

The third proportional to 128,416.50 and 276,597 is: 595,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,416.50 : 276,597 = 276,597 : x
  2. Step 2: Convert to fraction form
    128,416.50/276,597 = 276,597/x
  3. Step 3: Cross multiply
    128,416.50x = 276,597 × 276,597
  4. Step 4: Simplify right side
    128,416.50x = 76,505,900,409
  5. Step 5: Solve for x
    x = 76,505,900,409/128,416.50
  6. Step 6: Final answer
    x = 595,763.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.