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Finding the Third Proportional to 163,464 and 246,138

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Solution

The third proportional to 163,464 and 246,138 is: 370,625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,464 : 246,138 = 246,138 : x
  2. Step 2: Convert to fraction form
    163,464/246,138 = 246,138/x
  3. Step 3: Cross multiply
    163,464x = 246,138 × 246,138
  4. Step 4: Simplify right side
    163,464x = 60,583,915,044
  5. Step 5: Solve for x
    x = 60,583,915,044/163,464
  6. Step 6: Final answer
    x = 370,625.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.