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Finding the Third Proportional to 132,317 and 290,878

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Solution

The third proportional to 132,317 and 290,878 is: 639,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,317 : 290,878 = 290,878 : x
  2. Step 2: Convert to fraction form
    132,317/290,878 = 290,878/x
  3. Step 3: Cross multiply
    132,317x = 290,878 × 290,878
  4. Step 4: Simplify right side
    132,317x = 84,610,010,884
  5. Step 5: Solve for x
    x = 84,610,010,884/132,317
  6. Step 6: Final answer
    x = 639,449.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.