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Finding the Third Proportional to 209,916 and 244,038

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Solution

The third proportional to 209,916 and 244,038 is: 283,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,916 : 244,038 = 244,038 : x
  2. Step 2: Convert to fraction form
    209,916/244,038 = 244,038/x
  3. Step 3: Cross multiply
    209,916x = 244,038 × 244,038
  4. Step 4: Simplify right side
    209,916x = 59,554,545,444
  5. Step 5: Solve for x
    x = 59,554,545,444/209,916
  6. Step 6: Final answer
    x = 283,706.56

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.