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Finding the Third Proportional to 116,889 and 253,705

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Solution

The third proportional to 116,889 and 253,705 is: 550,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,889 : 253,705 = 253,705 : x
  2. Step 2: Convert to fraction form
    116,889/253,705 = 253,705/x
  3. Step 3: Cross multiply
    116,889x = 253,705 × 253,705
  4. Step 4: Simplify right side
    116,889x = 64,366,227,025
  5. Step 5: Solve for x
    x = 64,366,227,025/116,889
  6. Step 6: Final answer
    x = 550,661.11

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