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Finding the Third Proportional to 185,311.55 and 280,303.03

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Solution

The third proportional to 185,311.55 and 280,303.03 is: 423,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,311.55 : 280,303.03 = 280,303.03 : x
  2. Step 2: Convert to fraction form
    185,311.55/280,303.03 = 280,303.03/x
  3. Step 3: Cross multiply
    185,311.55x = 280,303.03 × 280,303.03
  4. Step 4: Simplify right side
    185,311.55x = 78,569,789,327.94
  5. Step 5: Solve for x
    x = 78,569,789,327.94/185,311.55
  6. Step 6: Final answer
    x = 423,987.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.