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Finding the Third Proportional to 133,855.03 and 280,842.19

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Solution

The third proportional to 133,855.03 and 280,842.19 is: 589,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,855.03 : 280,842.19 = 280,842.19 : x
  2. Step 2: Convert to fraction form
    133,855.03/280,842.19 = 280,842.19/x
  3. Step 3: Cross multiply
    133,855.03x = 280,842.19 × 280,842.19
  4. Step 4: Simplify right side
    133,855.03x = 78,872,334,279.79
  5. Step 5: Solve for x
    x = 78,872,334,279.79/133,855.03
  6. Step 6: Final answer
    x = 589,236.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.