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Finding the Third Proportional to 226,900 and 500,168

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Solution

The third proportional to 226,900 and 500,168 is: 1,102,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,900 : 500,168 = 500,168 : x
  2. Step 2: Convert to fraction form
    226,900/500,168 = 500,168/x
  3. Step 3: Cross multiply
    226,900x = 500,168 × 500,168
  4. Step 4: Simplify right side
    226,900x = 250,168,028,224
  5. Step 5: Solve for x
    x = 250,168,028,224/226,900
  6. Step 6: Final answer
    x = 1,102,547.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.