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Finding the Third Proportional to 111,906 and 240,376.50

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Solution

The third proportional to 111,906 and 240,376.50 is: 516,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,906 : 240,376.50 = 240,376.50 : x
  2. Step 2: Convert to fraction form
    111,906/240,376.50 = 240,376.50/x
  3. Step 3: Cross multiply
    111,906x = 240,376.50 × 240,376.50
  4. Step 4: Simplify right side
    111,906x = 57,780,861,752.25
  5. Step 5: Solve for x
    x = 57,780,861,752.25/111,906
  6. Step 6: Final answer
    x = 516,333.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.