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Finding the Third Proportional to 228,007 and 349,967

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Solution

The third proportional to 228,007 and 349,967 is: 537,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,007 : 349,967 = 349,967 : x
  2. Step 2: Convert to fraction form
    228,007/349,967 = 349,967/x
  3. Step 3: Cross multiply
    228,007x = 349,967 × 349,967
  4. Step 4: Simplify right side
    228,007x = 122,476,901,089
  5. Step 5: Solve for x
    x = 122,476,901,089/228,007
  6. Step 6: Final answer
    x = 537,162.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.