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Finding the Third Proportional to 132,708 and 280,968

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Solution

The third proportional to 132,708 and 280,968 is: 594,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,708 : 280,968 = 280,968 : x
  2. Step 2: Convert to fraction form
    132,708/280,968 = 280,968/x
  3. Step 3: Cross multiply
    132,708x = 280,968 × 280,968
  4. Step 4: Simplify right side
    132,708x = 78,943,017,024
  5. Step 5: Solve for x
    x = 78,943,017,024/132,708
  6. Step 6: Final answer
    x = 594,862.53

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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.