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Finding the Third Proportional to 114,734 and 251,631

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Solution

The third proportional to 114,734 and 251,631 is: 551,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,734 : 251,631 = 251,631 : x
  2. Step 2: Convert to fraction form
    114,734/251,631 = 251,631/x
  3. Step 3: Cross multiply
    114,734x = 251,631 × 251,631
  4. Step 4: Simplify right side
    114,734x = 63,318,160,161
  5. Step 5: Solve for x
    x = 63,318,160,161/114,734
  6. Step 6: Final answer
    x = 551,869.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.