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Finding the Third Proportional to 132,705 and 280,962

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Solution

The third proportional to 132,705 and 280,962 is: 594,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705 : 280,962 = 280,962 : x
  2. Step 2: Convert to fraction form
    132,705/280,962 = 280,962/x
  3. Step 3: Cross multiply
    132,705x = 280,962 × 280,962
  4. Step 4: Simplify right side
    132,705x = 78,939,645,444
  5. Step 5: Solve for x
    x = 78,939,645,444/132,705
  6. Step 6: Final answer
    x = 594,850.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.