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Finding the Third Proportional to 128,722.50 and 276,815.81

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Solution

The third proportional to 128,722.50 and 276,815.81 is: 595,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,722.50 : 276,815.81 = 276,815.81 : x
  2. Step 2: Convert to fraction form
    128,722.50/276,815.81 = 276,815.81/x
  3. Step 3: Cross multiply
    128,722.50x = 276,815.81 × 276,815.81
  4. Step 4: Simplify right side
    128,722.50x = 76,626,994,050.04
  5. Step 5: Solve for x
    x = 76,626,994,050.04/128,722.50
  6. Step 6: Final answer
    x = 595,288.27

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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.