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Finding the Third Proportional to 202,449.38 and 434,354.91

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Solution

The third proportional to 202,449.38 and 434,354.91 is: 931,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,449.38 : 434,354.91 = 434,354.91 : x
  2. Step 2: Convert to fraction form
    202,449.38/434,354.91 = 434,354.91/x
  3. Step 3: Cross multiply
    202,449.38x = 434,354.91 × 434,354.91
  4. Step 4: Simplify right side
    202,449.38x = 188,664,184,583.45
  5. Step 5: Solve for x
    x = 188,664,184,583.45/202,449.38
  6. Step 6: Final answer
    x = 931,907.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.