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Finding the Third Proportional to 116,451 and 237,181.50

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Solution

The third proportional to 116,451 and 237,181.50 is: 483,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,451 : 237,181.50 = 237,181.50 : x
  2. Step 2: Convert to fraction form
    116,451/237,181.50 = 237,181.50/x
  3. Step 3: Cross multiply
    116,451x = 237,181.50 × 237,181.50
  4. Step 4: Simplify right side
    116,451x = 56,255,063,942.25
  5. Step 5: Solve for x
    x = 56,255,063,942.25/116,451
  6. Step 6: Final answer
    x = 483,079.27

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.