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Finding the Third Proportional to 183,505.50 and 280,742.84

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Solution

The third proportional to 183,505.50 and 280,742.84 is: 429,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,505.50 : 280,742.84 = 280,742.84 : x
  2. Step 2: Convert to fraction form
    183,505.50/280,742.84 = 280,742.84/x
  3. Step 3: Cross multiply
    183,505.50x = 280,742.84 × 280,742.84
  4. Step 4: Simplify right side
    183,505.50x = 78,816,539,930.23
  5. Step 5: Solve for x
    x = 78,816,539,930.23/183,505.50
  6. Step 6: Final answer
    x = 429,505.06

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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.