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Finding the Third Proportional to 117,387 and 244,502

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Solution

The third proportional to 117,387 and 244,502 is: 509,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,387 : 244,502 = 244,502 : x
  2. Step 2: Convert to fraction form
    117,387/244,502 = 244,502/x
  3. Step 3: Cross multiply
    117,387x = 244,502 × 244,502
  4. Step 4: Simplify right side
    117,387x = 59,781,228,004
  5. Step 5: Solve for x
    x = 59,781,228,004/117,387
  6. Step 6: Final answer
    x = 509,266.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.