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Finding the Third Proportional to 132,954 and 290,940

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Solution

The third proportional to 132,954 and 290,940 is: 636,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,954 : 290,940 = 290,940 : x
  2. Step 2: Convert to fraction form
    132,954/290,940 = 290,940/x
  3. Step 3: Cross multiply
    132,954x = 290,940 × 290,940
  4. Step 4: Simplify right side
    132,954x = 84,646,083,600
  5. Step 5: Solve for x
    x = 84,646,083,600/132,954
  6. Step 6: Final answer
    x = 636,656.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.