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Finding the Third Proportional to 185,523 and 397,284

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Solution

The third proportional to 185,523 and 397,284 is: 850,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,523 : 397,284 = 397,284 : x
  2. Step 2: Convert to fraction form
    185,523/397,284 = 397,284/x
  3. Step 3: Cross multiply
    185,523x = 397,284 × 397,284
  4. Step 4: Simplify right side
    185,523x = 157,834,576,656
  5. Step 5: Solve for x
    x = 157,834,576,656/185,523
  6. Step 6: Final answer
    x = 850,754.77

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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.