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Finding the Third Proportional to 183,798.56 and 281,104.88

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Solution

The third proportional to 183,798.56 and 281,104.88 is: 429,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,798.56 : 281,104.88 = 281,104.88 : x
  2. Step 2: Convert to fraction form
    183,798.56/281,104.88 = 281,104.88/x
  3. Step 3: Cross multiply
    183,798.56x = 281,104.88 × 281,104.88
  4. Step 4: Simplify right side
    183,798.56x = 79,019,950,748.77
  5. Step 5: Solve for x
    x = 79,019,950,748.77/183,798.56
  6. Step 6: Final answer
    x = 429,926.92

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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.