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Finding the Third Proportional to 132,932 and 286,736

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Solution

The third proportional to 132,932 and 286,736 is: 618,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,932 : 286,736 = 286,736 : x
  2. Step 2: Convert to fraction form
    132,932/286,736 = 286,736/x
  3. Step 3: Cross multiply
    132,932x = 286,736 × 286,736
  4. Step 4: Simplify right side
    132,932x = 82,217,533,696
  5. Step 5: Solve for x
    x = 82,217,533,696/132,932
  6. Step 6: Final answer
    x = 618,493.17

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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.