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Finding the Third Proportional to 182,906 and 399,328

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Solution

The third proportional to 182,906 and 399,328 is: 871,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,906 : 399,328 = 399,328 : x
  2. Step 2: Convert to fraction form
    182,906/399,328 = 399,328/x
  3. Step 3: Cross multiply
    182,906x = 399,328 × 399,328
  4. Step 4: Simplify right side
    182,906x = 159,462,851,584
  5. Step 5: Solve for x
    x = 159,462,851,584/182,906
  6. Step 6: Final answer
    x = 871,829.53

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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.