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Finding the Third Proportional to 201,648 and 274,023

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Solution

The third proportional to 201,648 and 274,023 is: 372,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,648 : 274,023 = 274,023 : x
  2. Step 2: Convert to fraction form
    201,648/274,023 = 274,023/x
  3. Step 3: Cross multiply
    201,648x = 274,023 × 274,023
  4. Step 4: Simplify right side
    201,648x = 75,088,604,529
  5. Step 5: Solve for x
    x = 75,088,604,529/201,648
  6. Step 6: Final answer
    x = 372,374.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.