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Finding the Third Proportional to 104,218 and 228,044

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Solution

The third proportional to 104,218 and 228,044 is: 498,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,218 : 228,044 = 228,044 : x
  2. Step 2: Convert to fraction form
    104,218/228,044 = 228,044/x
  3. Step 3: Cross multiply
    104,218x = 228,044 × 228,044
  4. Step 4: Simplify right side
    104,218x = 52,004,065,936
  5. Step 5: Solve for x
    x = 52,004,065,936/104,218
  6. Step 6: Final answer
    x = 498,993.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.