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Finding the Third Proportional to 224,904 and 338,004

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Solution

The third proportional to 224,904 and 338,004 is: 507,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,904 : 338,004 = 338,004 : x
  2. Step 2: Convert to fraction form
    224,904/338,004 = 338,004/x
  3. Step 3: Cross multiply
    224,904x = 338,004 × 338,004
  4. Step 4: Simplify right side
    224,904x = 114,246,704,016
  5. Step 5: Solve for x
    x = 114,246,704,016/224,904
  6. Step 6: Final answer
    x = 507,979.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.