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Finding the Third Proportional to 136,327 and 279,265

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Solution

The third proportional to 136,327 and 279,265 is: 572,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,327 : 279,265 = 279,265 : x
  2. Step 2: Convert to fraction form
    136,327/279,265 = 279,265/x
  3. Step 3: Cross multiply
    136,327x = 279,265 × 279,265
  4. Step 4: Simplify right side
    136,327x = 77,988,940,225
  5. Step 5: Solve for x
    x = 77,988,940,225/136,327
  6. Step 6: Final answer
    x = 572,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.