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Finding the Third Proportional to 200,724 and 275,235

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Solution

The third proportional to 200,724 and 275,235 is: 377,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,724 : 275,235 = 275,235 : x
  2. Step 2: Convert to fraction form
    200,724/275,235 = 275,235/x
  3. Step 3: Cross multiply
    200,724x = 275,235 × 275,235
  4. Step 4: Simplify right side
    200,724x = 75,754,305,225
  5. Step 5: Solve for x
    x = 75,754,305,225/200,724
  6. Step 6: Final answer
    x = 377,405.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.