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Finding the Third Proportional to 104,210 and 228,028

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Solution

The third proportional to 104,210 and 228,028 is: 498,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,210 : 228,028 = 228,028 : x
  2. Step 2: Convert to fraction form
    104,210/228,028 = 228,028/x
  3. Step 3: Cross multiply
    104,210x = 228,028 × 228,028
  4. Step 4: Simplify right side
    104,210x = 51,996,768,784
  5. Step 5: Solve for x
    x = 51,996,768,784/104,210
  6. Step 6: Final answer
    x = 498,961.41

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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.