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Finding the Third Proportional to 237,874 and 368,078

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Solution

The third proportional to 237,874 and 368,078 is: 569,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,874 : 368,078 = 368,078 : x
  2. Step 2: Convert to fraction form
    237,874/368,078 = 368,078/x
  3. Step 3: Cross multiply
    237,874x = 368,078 × 368,078
  4. Step 4: Simplify right side
    237,874x = 135,481,414,084
  5. Step 5: Solve for x
    x = 135,481,414,084/237,874
  6. Step 6: Final answer
    x = 569,551.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.