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Finding the Third Proportional to 136,325 and 297,436

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Solution

The third proportional to 136,325 and 297,436 is: 648,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,325 : 297,436 = 297,436 : x
  2. Step 2: Convert to fraction form
    136,325/297,436 = 297,436/x
  3. Step 3: Cross multiply
    136,325x = 297,436 × 297,436
  4. Step 4: Simplify right side
    136,325x = 88,468,174,096
  5. Step 5: Solve for x
    x = 88,468,174,096/136,325
  6. Step 6: Final answer
    x = 648,950.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.