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Finding the Third Proportional to 110,764 and 240,224

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Solution

The third proportional to 110,764 and 240,224 is: 520,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,764 : 240,224 = 240,224 : x
  2. Step 2: Convert to fraction form
    110,764/240,224 = 240,224/x
  3. Step 3: Cross multiply
    110,764x = 240,224 × 240,224
  4. Step 4: Simplify right side
    110,764x = 57,707,570,176
  5. Step 5: Solve for x
    x = 57,707,570,176/110,764
  6. Step 6: Final answer
    x = 520,995.72

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Why These Related Problems?

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