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Finding the Third Proportional to 229,728 and 344,826

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Solution

The third proportional to 229,728 and 344,826 is: 517,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,728 : 344,826 = 344,826 : x
  2. Step 2: Convert to fraction form
    229,728/344,826 = 344,826/x
  3. Step 3: Cross multiply
    229,728x = 344,826 × 344,826
  4. Step 4: Simplify right side
    229,728x = 118,904,970,276
  5. Step 5: Solve for x
    x = 118,904,970,276/229,728
  6. Step 6: Final answer
    x = 517,590.24

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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.