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Finding the Third Proportional to 114,558 and 251,706

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Solution

The third proportional to 114,558 and 251,706 is: 553,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,558 : 251,706 = 251,706 : x
  2. Step 2: Convert to fraction form
    114,558/251,706 = 251,706/x
  3. Step 3: Cross multiply
    114,558x = 251,706 × 251,706
  4. Step 4: Simplify right side
    114,558x = 63,355,910,436
  5. Step 5: Solve for x
    x = 63,355,910,436/114,558
  6. Step 6: Final answer
    x = 553,046.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.