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Finding the Third Proportional to 146,616 and 242,631

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Solution

The third proportional to 146,616 and 242,631 is: 401,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,616 : 242,631 = 242,631 : x
  2. Step 2: Convert to fraction form
    146,616/242,631 = 242,631/x
  3. Step 3: Cross multiply
    146,616x = 242,631 × 242,631
  4. Step 4: Simplify right side
    146,616x = 58,869,802,161
  5. Step 5: Solve for x
    x = 58,869,802,161/146,616
  6. Step 6: Final answer
    x = 401,523.72

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.