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Finding the Third Proportional to 185,537 and 397,309

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Solution

The third proportional to 185,537 and 397,309 is: 850,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,537 : 397,309 = 397,309 : x
  2. Step 2: Convert to fraction form
    185,537/397,309 = 397,309/x
  3. Step 3: Cross multiply
    185,537x = 397,309 × 397,309
  4. Step 4: Simplify right side
    185,537x = 157,854,441,481
  5. Step 5: Solve for x
    x = 157,854,441,481/185,537
  6. Step 6: Final answer
    x = 850,797.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.