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Finding the Third Proportional to 114,436 and 239,332

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Solution

The third proportional to 114,436 and 239,332 is: 500,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,436 : 239,332 = 239,332 : x
  2. Step 2: Convert to fraction form
    114,436/239,332 = 239,332/x
  3. Step 3: Cross multiply
    114,436x = 239,332 × 239,332
  4. Step 4: Simplify right side
    114,436x = 57,279,806,224
  5. Step 5: Solve for x
    x = 57,279,806,224/114,436
  6. Step 6: Final answer
    x = 500,540.09

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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.