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Finding the Third Proportional to 206,033.63 and 434,575.13

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Solution

The third proportional to 206,033.63 and 434,575.13 is: 916,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,033.63 : 434,575.13 = 434,575.13 : x
  2. Step 2: Convert to fraction form
    206,033.63/434,575.13 = 434,575.13/x
  3. Step 3: Cross multiply
    206,033.63x = 434,575.13 × 434,575.13
  4. Step 4: Simplify right side
    206,033.63x = 188,855,539,268.77
  5. Step 5: Solve for x
    x = 188,855,539,268.77/206,033.63
  6. Step 6: Final answer
    x = 916,624.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.