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Finding the Third Proportional to 166,527 and 225,733

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Solution

The third proportional to 166,527 and 225,733 is: 305,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,527 : 225,733 = 225,733 : x
  2. Step 2: Convert to fraction form
    166,527/225,733 = 225,733/x
  3. Step 3: Cross multiply
    166,527x = 225,733 × 225,733
  4. Step 4: Simplify right side
    166,527x = 50,955,387,289
  5. Step 5: Solve for x
    x = 50,955,387,289/166,527
  6. Step 6: Final answer
    x = 305,988.74

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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.