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Finding the Third Proportional to 114,436 and 241,736

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Solution

The third proportional to 114,436 and 241,736 is: 510,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,436 : 241,736 = 241,736 : x
  2. Step 2: Convert to fraction form
    114,436/241,736 = 241,736/x
  3. Step 3: Cross multiply
    114,436x = 241,736 × 241,736
  4. Step 4: Simplify right side
    114,436x = 58,436,293,696
  5. Step 5: Solve for x
    x = 58,436,293,696/114,436
  6. Step 6: Final answer
    x = 510,646.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.