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Finding the Third Proportional to 228,764 and 330,020

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Solution

The third proportional to 228,764 and 330,020 is: 476,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,764 : 330,020 = 330,020 : x
  2. Step 2: Convert to fraction form
    228,764/330,020 = 330,020/x
  3. Step 3: Cross multiply
    228,764x = 330,020 × 330,020
  4. Step 4: Simplify right side
    228,764x = 108,913,200,400
  5. Step 5: Solve for x
    x = 108,913,200,400/228,764
  6. Step 6: Final answer
    x = 476,094.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.