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Finding the Third Proportional to 116,890 and 253,706

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Solution

The third proportional to 116,890 and 253,706 is: 550,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,890 : 253,706 = 253,706 : x
  2. Step 2: Convert to fraction form
    116,890/253,706 = 253,706/x
  3. Step 3: Cross multiply
    116,890x = 253,706 × 253,706
  4. Step 4: Simplify right side
    116,890x = 64,366,734,436
  5. Step 5: Solve for x
    x = 64,366,734,436/116,890
  6. Step 6: Final answer
    x = 550,660.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.