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Finding the Third Proportional to 182,085 and 371,397

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Solution

The third proportional to 182,085 and 371,397 is: 757,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,085 : 371,397 = 371,397 : x
  2. Step 2: Convert to fraction form
    182,085/371,397 = 371,397/x
  3. Step 3: Cross multiply
    182,085x = 371,397 × 371,397
  4. Step 4: Simplify right side
    182,085x = 137,935,731,609
  5. Step 5: Solve for x
    x = 137,935,731,609/182,085
  6. Step 6: Final answer
    x = 757,534.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.