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Finding the Third Proportional to 228,754 and 330,008

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Solution

The third proportional to 228,754 and 330,008 is: 476,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,754 : 330,008 = 330,008 : x
  2. Step 2: Convert to fraction form
    228,754/330,008 = 330,008/x
  3. Step 3: Cross multiply
    228,754x = 330,008 × 330,008
  4. Step 4: Simplify right side
    228,754x = 108,905,280,064
  5. Step 5: Solve for x
    x = 108,905,280,064/228,754
  6. Step 6: Final answer
    x = 476,080.33

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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.