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Finding the Third Proportional to 182,052 and 271,668

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Solution

The third proportional to 182,052 and 271,668 is: 405,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,052 : 271,668 = 271,668 : x
  2. Step 2: Convert to fraction form
    182,052/271,668 = 271,668/x
  3. Step 3: Cross multiply
    182,052x = 271,668 × 271,668
  4. Step 4: Simplify right side
    182,052x = 73,803,502,224
  5. Step 5: Solve for x
    x = 73,803,502,224/182,052
  6. Step 6: Final answer
    x = 405,397.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.