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Finding the Third Proportional to 104,353 and 228,386

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Solution

The third proportional to 104,353 and 228,386 is: 499,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,353 : 228,386 = 228,386 : x
  2. Step 2: Convert to fraction form
    104,353/228,386 = 228,386/x
  3. Step 3: Cross multiply
    104,353x = 228,386 × 228,386
  4. Step 4: Simplify right side
    104,353x = 52,160,164,996
  5. Step 5: Solve for x
    x = 52,160,164,996/104,353
  6. Step 6: Final answer
    x = 499,843.46

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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.