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Finding the Third Proportional to 232,108 and 368,898

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Solution

The third proportional to 232,108 and 368,898 is: 586,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,108 : 368,898 = 368,898 : x
  2. Step 2: Convert to fraction form
    232,108/368,898 = 368,898/x
  3. Step 3: Cross multiply
    232,108x = 368,898 × 368,898
  4. Step 4: Simplify right side
    232,108x = 136,085,734,404
  5. Step 5: Solve for x
    x = 136,085,734,404/232,108
  6. Step 6: Final answer
    x = 586,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.