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Finding the Third Proportional to 182,133 and 271,332

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Solution

The third proportional to 182,133 and 271,332 is: 404,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,133 : 271,332 = 271,332 : x
  2. Step 2: Convert to fraction form
    182,133/271,332 = 271,332/x
  3. Step 3: Cross multiply
    182,133x = 271,332 × 271,332
  4. Step 4: Simplify right side
    182,133x = 73,621,054,224
  5. Step 5: Solve for x
    x = 73,621,054,224/182,133
  6. Step 6: Final answer
    x = 404,215.90

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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.