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Finding the Third Proportional to 207.75 and 436.59

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Solution

The third proportional to 207.75 and 436.59 is: 917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.75 : 436.59 = 436.59 : x
  2. Step 2: Convert to fraction form
    207.75/436.59 = 436.59/x
  3. Step 3: Cross multiply
    207.75x = 436.59 × 436.59
  4. Step 4: Simplify right side
    207.75x = 190,614.10
  5. Step 5: Solve for x
    x = 190,614.10/207.75
  6. Step 6: Final answer
    x = 917.52

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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.