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Finding the Third Proportional to 114,628 and 251,399

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Solution

The third proportional to 114,628 and 251,399 is: 551,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,628 : 251,399 = 251,399 : x
  2. Step 2: Convert to fraction form
    114,628/251,399 = 251,399/x
  3. Step 3: Cross multiply
    114,628x = 251,399 × 251,399
  4. Step 4: Simplify right side
    114,628x = 63,201,457,201
  5. Step 5: Solve for x
    x = 63,201,457,201/114,628
  6. Step 6: Final answer
    x = 551,361.42

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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.