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Finding the Third Proportional to 114,464 and 239,384

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Solution

The third proportional to 114,464 and 239,384 is: 500,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464 : 239,384 = 239,384 : x
  2. Step 2: Convert to fraction form
    114,464/239,384 = 239,384/x
  3. Step 3: Cross multiply
    114,464x = 239,384 × 239,384
  4. Step 4: Simplify right side
    114,464x = 57,304,699,456
  5. Step 5: Solve for x
    x = 57,304,699,456/114,464
  6. Step 6: Final answer
    x = 500,635.13

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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.