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Finding the Third Proportional to 209,469.75 and 452,142.75

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Solution

The third proportional to 209,469.75 and 452,142.75 is: 975,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,469.75 : 452,142.75 = 452,142.75 : x
  2. Step 2: Convert to fraction form
    209,469.75/452,142.75 = 452,142.75/x
  3. Step 3: Cross multiply
    209,469.75x = 452,142.75 × 452,142.75
  4. Step 4: Simplify right side
    209,469.75x = 204,433,066,377.56
  5. Step 5: Solve for x
    x = 204,433,066,377.56/209,469.75
  6. Step 6: Final answer
    x = 975,955.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.