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Finding the Third Proportional to 182,908 and 399,332

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Solution

The third proportional to 182,908 and 399,332 is: 871,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,908 : 399,332 = 399,332 : x
  2. Step 2: Convert to fraction form
    182,908/399,332 = 399,332/x
  3. Step 3: Cross multiply
    182,908x = 399,332 × 399,332
  4. Step 4: Simplify right side
    182,908x = 159,466,046,224
  5. Step 5: Solve for x
    x = 159,466,046,224/182,908
  6. Step 6: Final answer
    x = 871,837.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.