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Finding the Third Proportional to 131,170 and 289,904

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Solution

The third proportional to 131,170 and 289,904 is: 640,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,170 : 289,904 = 289,904 : x
  2. Step 2: Convert to fraction form
    131,170/289,904 = 289,904/x
  3. Step 3: Cross multiply
    131,170x = 289,904 × 289,904
  4. Step 4: Simplify right side
    131,170x = 84,044,329,216
  5. Step 5: Solve for x
    x = 84,044,329,216/131,170
  6. Step 6: Final answer
    x = 640,728.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.