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Finding the Third Proportional to 132,795 and 286,326

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Solution

The third proportional to 132,795 and 286,326 is: 617,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,795 : 286,326 = 286,326 : x
  2. Step 2: Convert to fraction form
    132,795/286,326 = 286,326/x
  3. Step 3: Cross multiply
    132,795x = 286,326 × 286,326
  4. Step 4: Simplify right side
    132,795x = 81,982,578,276
  5. Step 5: Solve for x
    x = 81,982,578,276/132,795
  6. Step 6: Final answer
    x = 617,361.94

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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.