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Finding the Third Proportional to 106,640 and 228,044

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Solution

The third proportional to 106,640 and 228,044 is: 487,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,640 : 228,044 = 228,044 : x
  2. Step 2: Convert to fraction form
    106,640/228,044 = 228,044/x
  3. Step 3: Cross multiply
    106,640x = 228,044 × 228,044
  4. Step 4: Simplify right side
    106,640x = 52,004,065,936
  5. Step 5: Solve for x
    x = 52,004,065,936/106,640
  6. Step 6: Final answer
    x = 487,660.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.