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Finding the Third Proportional to 104,368 and 228,427

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Solution

The third proportional to 104,368 and 228,427 is: 499,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,368 : 228,427 = 228,427 : x
  2. Step 2: Convert to fraction form
    104,368/228,427 = 228,427/x
  3. Step 3: Cross multiply
    104,368x = 228,427 × 228,427
  4. Step 4: Simplify right side
    104,368x = 52,178,894,329
  5. Step 5: Solve for x
    x = 52,178,894,329/104,368
  6. Step 6: Final answer
    x = 499,951.08

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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.