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Finding the Third Proportional to 171,349 and 371,301

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Solution

The third proportional to 171,349 and 371,301 is: 804,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,349 : 371,301 = 371,301 : x
  2. Step 2: Convert to fraction form
    171,349/371,301 = 371,301/x
  3. Step 3: Cross multiply
    171,349x = 371,301 × 371,301
  4. Step 4: Simplify right side
    171,349x = 137,864,432,601
  5. Step 5: Solve for x
    x = 137,864,432,601/171,349
  6. Step 6: Final answer
    x = 804,582.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.