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Finding the Third Proportional to 201,730 and 274,106

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Solution

The third proportional to 201,730 and 274,106 is: 372,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,730 : 274,106 = 274,106 : x
  2. Step 2: Convert to fraction form
    201,730/274,106 = 274,106/x
  3. Step 3: Cross multiply
    201,730x = 274,106 × 274,106
  4. Step 4: Simplify right side
    201,730x = 75,134,099,236
  5. Step 5: Solve for x
    x = 75,134,099,236/201,730
  6. Step 6: Final answer
    x = 372,448.81

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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.