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Finding the Third Proportional to 110,764 and 236,028

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Solution

The third proportional to 110,764 and 236,028 is: 502,954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,764 : 236,028 = 236,028 : x
  2. Step 2: Convert to fraction form
    110,764/236,028 = 236,028/x
  3. Step 3: Cross multiply
    110,764x = 236,028 × 236,028
  4. Step 4: Simplify right side
    110,764x = 55,709,216,784
  5. Step 5: Solve for x
    x = 55,709,216,784/110,764
  6. Step 6: Final answer
    x = 502,954.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.