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Finding the Third Proportional to 104,082 and 228,396

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Solution

The third proportional to 104,082 and 228,396 is: 501,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,082 : 228,396 = 228,396 : x
  2. Step 2: Convert to fraction form
    104,082/228,396 = 228,396/x
  3. Step 3: Cross multiply
    104,082x = 228,396 × 228,396
  4. Step 4: Simplify right side
    104,082x = 52,164,732,816
  5. Step 5: Solve for x
    x = 52,164,732,816/104,082
  6. Step 6: Final answer
    x = 501,188.80

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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.