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Finding the Third Proportional to 206,064.75 and 439,346.25

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Solution

The third proportional to 206,064.75 and 439,346.25 is: 936,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064.75 : 439,346.25 = 439,346.25 : x
  2. Step 2: Convert to fraction form
    206,064.75/439,346.25 = 439,346.25/x
  3. Step 3: Cross multiply
    206,064.75x = 439,346.25 × 439,346.25
  4. Step 4: Simplify right side
    206,064.75x = 193,025,127,389.06
  5. Step 5: Solve for x
    x = 193,025,127,389.06/206,064.75
  6. Step 6: Final answer
    x = 936,720.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.