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Finding the Third Proportional to 155,230.50 and 340,941

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Solution

The third proportional to 155,230.50 and 340,941 is: 748,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,230.50 : 340,941 = 340,941 : x
  2. Step 2: Convert to fraction form
    155,230.50/340,941 = 340,941/x
  3. Step 3: Cross multiply
    155,230.50x = 340,941 × 340,941
  4. Step 4: Simplify right side
    155,230.50x = 116,240,765,481
  5. Step 5: Solve for x
    x = 116,240,765,481/155,230.50
  6. Step 6: Final answer
    x = 748,826.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.