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Finding the Third Proportional to 116,788 and 190,705

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Solution

The third proportional to 116,788 and 190,705 is: 311,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,788 : 190,705 = 190,705 : x
  2. Step 2: Convert to fraction form
    116,788/190,705 = 190,705/x
  3. Step 3: Cross multiply
    116,788x = 190,705 × 190,705
  4. Step 4: Simplify right side
    116,788x = 36,368,397,025
  5. Step 5: Solve for x
    x = 36,368,397,025/116,788
  6. Step 6: Final answer
    x = 311,405.26

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.