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Finding the Third Proportional to 241,340.50 and 361,545

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Solution

The third proportional to 241,340.50 and 361,545 is: 541,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,340.50 : 361,545 = 361,545 : x
  2. Step 2: Convert to fraction form
    241,340.50/361,545 = 361,545/x
  3. Step 3: Cross multiply
    241,340.50x = 361,545 × 361,545
  4. Step 4: Simplify right side
    241,340.50x = 130,714,787,025
  5. Step 5: Solve for x
    x = 130,714,787,025/241,340.50
  6. Step 6: Final answer
    x = 541,619.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.