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Finding the Third Proportional to 201,707 and 274,073

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Solution

The third proportional to 201,707 and 274,073 is: 372,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707 : 274,073 = 274,073 : x
  2. Step 2: Convert to fraction form
    201,707/274,073 = 274,073/x
  3. Step 3: Cross multiply
    201,707x = 274,073 × 274,073
  4. Step 4: Simplify right side
    201,707x = 75,116,009,329
  5. Step 5: Solve for x
    x = 75,116,009,329/201,707
  6. Step 6: Final answer
    x = 372,401.60

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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.