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Finding the Third Proportional to 111,670.50 and 240,847.50

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Solution

The third proportional to 111,670.50 and 240,847.50 is: 519,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,670.50 : 240,847.50 = 240,847.50 : x
  2. Step 2: Convert to fraction form
    111,670.50/240,847.50 = 240,847.50/x
  3. Step 3: Cross multiply
    111,670.50x = 240,847.50 × 240,847.50
  4. Step 4: Simplify right side
    111,670.50x = 58,007,518,256.25
  5. Step 5: Solve for x
    x = 58,007,518,256.25/111,670.50
  6. Step 6: Final answer
    x = 519,452.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.