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Finding the Third Proportional to 247,033.13 and 361,131.75

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Solution

The third proportional to 247,033.13 and 361,131.75 is: 527,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,033.13 : 361,131.75 = 361,131.75 : x
  2. Step 2: Convert to fraction form
    247,033.13/361,131.75 = 361,131.75/x
  3. Step 3: Cross multiply
    247,033.13x = 361,131.75 × 361,131.75
  4. Step 4: Simplify right side
    247,033.13x = 130,416,140,858.06
  5. Step 5: Solve for x
    x = 130,416,140,858.06/247,033.13
  6. Step 6: Final answer
    x = 527,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.