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Finding the Third Proportional to 173,889 and 362,790

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Solution

The third proportional to 173,889 and 362,790 is: 756,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,889 : 362,790 = 362,790 : x
  2. Step 2: Convert to fraction form
    173,889/362,790 = 362,790/x
  3. Step 3: Cross multiply
    173,889x = 362,790 × 362,790
  4. Step 4: Simplify right side
    173,889x = 131,616,584,100
  5. Step 5: Solve for x
    x = 131,616,584,100/173,889
  6. Step 6: Final answer
    x = 756,900

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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.