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Finding the Third Proportional to 114,429 and 239,314

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Solution

The third proportional to 114,429 and 239,314 is: 500,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,429 : 239,314 = 239,314 : x
  2. Step 2: Convert to fraction form
    114,429/239,314 = 239,314/x
  3. Step 3: Cross multiply
    114,429x = 239,314 × 239,314
  4. Step 4: Simplify right side
    114,429x = 57,271,190,596
  5. Step 5: Solve for x
    x = 57,271,190,596/114,429
  6. Step 6: Final answer
    x = 500,495.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.