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Finding the Third Proportional to 192,422 and 286,581

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Solution

The third proportional to 192,422 and 286,581 is: 426,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,422 : 286,581 = 286,581 : x
  2. Step 2: Convert to fraction form
    192,422/286,581 = 286,581/x
  3. Step 3: Cross multiply
    192,422x = 286,581 × 286,581
  4. Step 4: Simplify right side
    192,422x = 82,128,669,561
  5. Step 5: Solve for x
    x = 82,128,669,561/192,422
  6. Step 6: Final answer
    x = 426,815.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.