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Finding the Third Proportional to 185,655.80 and 280,559.64

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Solution

The third proportional to 185,655.80 and 280,559.64 is: 423,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,655.80 : 280,559.64 = 280,559.64 : x
  2. Step 2: Convert to fraction form
    185,655.80/280,559.64 = 280,559.64/x
  3. Step 3: Cross multiply
    185,655.80x = 280,559.64 × 280,559.64
  4. Step 4: Simplify right side
    185,655.80x = 78,713,709,755.76
  5. Step 5: Solve for x
    x = 78,713,709,755.76/185,655.80
  6. Step 6: Final answer
    x = 423,976.58

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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.