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Finding the Third Proportional to 188,724 and 275,302

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Solution

The third proportional to 188,724 and 275,302 is: 401,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,724 : 275,302 = 275,302 : x
  2. Step 2: Convert to fraction form
    188,724/275,302 = 275,302/x
  3. Step 3: Cross multiply
    188,724x = 275,302 × 275,302
  4. Step 4: Simplify right side
    188,724x = 75,791,191,204
  5. Step 5: Solve for x
    x = 75,791,191,204/188,724
  6. Step 6: Final answer
    x = 401,598.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.