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Finding the Third Proportional to 132,296 and 290,284

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Solution

The third proportional to 132,296 and 290,284 is: 636,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296 : 290,284 = 290,284 : x
  2. Step 2: Convert to fraction form
    132,296/290,284 = 290,284/x
  3. Step 3: Cross multiply
    132,296x = 290,284 × 290,284
  4. Step 4: Simplify right side
    132,296x = 84,264,800,656
  5. Step 5: Solve for x
    x = 84,264,800,656/132,296
  6. Step 6: Final answer
    x = 636,941.41

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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.