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Finding the Third Proportional to 183,670.88 and 280,943.44

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Solution

The third proportional to 183,670.88 and 280,943.44 is: 429,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,670.88 : 280,943.44 = 280,943.44 : x
  2. Step 2: Convert to fraction form
    183,670.88/280,943.44 = 280,943.44/x
  3. Step 3: Cross multiply
    183,670.88x = 280,943.44 × 280,943.44
  4. Step 4: Simplify right side
    183,670.88x = 78,929,215,074.32
  5. Step 5: Solve for x
    x = 78,929,215,074.32/183,670.88
  6. Step 6: Final answer
    x = 429,731.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.