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Finding the Third Proportional to 131,584 and 283,904

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Solution

The third proportional to 131,584 and 283,904 is: 612,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,584 : 283,904 = 283,904 : x
  2. Step 2: Convert to fraction form
    131,584/283,904 = 283,904/x
  3. Step 3: Cross multiply
    131,584x = 283,904 × 283,904
  4. Step 4: Simplify right side
    131,584x = 80,601,481,216
  5. Step 5: Solve for x
    x = 80,601,481,216/131,584
  6. Step 6: Final answer
    x = 612,547.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.