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Finding the Third Proportional to 132,867 and 290,541

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Solution

The third proportional to 132,867 and 290,541 is: 635,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,867 : 290,541 = 290,541 : x
  2. Step 2: Convert to fraction form
    132,867/290,541 = 290,541/x
  3. Step 3: Cross multiply
    132,867x = 290,541 × 290,541
  4. Step 4: Simplify right side
    132,867x = 84,414,072,681
  5. Step 5: Solve for x
    x = 84,414,072,681/132,867
  6. Step 6: Final answer
    x = 635,327.60

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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.