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Finding the Third Proportional to 132,168 and 293,766

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Solution

The third proportional to 132,168 and 293,766 is: 652,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,168 : 293,766 = 293,766 : x
  2. Step 2: Convert to fraction form
    132,168/293,766 = 293,766/x
  3. Step 3: Cross multiply
    132,168x = 293,766 × 293,766
  4. Step 4: Simplify right side
    132,168x = 86,298,462,756
  5. Step 5: Solve for x
    x = 86,298,462,756/132,168
  6. Step 6: Final answer
    x = 652,945.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.