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Finding the Third Proportional to 135,938 and 316,055

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Solution

The third proportional to 135,938 and 316,055 is: 734,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938 : 316,055 = 316,055 : x
  2. Step 2: Convert to fraction form
    135,938/316,055 = 316,055/x
  3. Step 3: Cross multiply
    135,938x = 316,055 × 316,055
  4. Step 4: Simplify right side
    135,938x = 99,890,763,025
  5. Step 5: Solve for x
    x = 99,890,763,025/135,938
  6. Step 6: Final answer
    x = 734,825.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.