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Finding the Third Proportional to 131,550 and 285,276

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Solution

The third proportional to 131,550 and 285,276 is: 618,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,550 : 285,276 = 285,276 : x
  2. Step 2: Convert to fraction form
    131,550/285,276 = 285,276/x
  3. Step 3: Cross multiply
    131,550x = 285,276 × 285,276
  4. Step 4: Simplify right side
    131,550x = 81,382,396,176
  5. Step 5: Solve for x
    x = 81,382,396,176/131,550
  6. Step 6: Final answer
    x = 618,642.31

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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.