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Finding the Third Proportional to 206,094.38 and 434,328.75

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Solution

The third proportional to 206,094.38 and 434,328.75 is: 915,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,094.38 : 434,328.75 = 434,328.75 : x
  2. Step 2: Convert to fraction form
    206,094.38/434,328.75 = 434,328.75/x
  3. Step 3: Cross multiply
    206,094.38x = 434,328.75 × 434,328.75
  4. Step 4: Simplify right side
    206,094.38x = 188,641,463,076.56
  5. Step 5: Solve for x
    x = 188,641,463,076.56/206,094.38
  6. Step 6: Final answer
    x = 915,315.92

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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.