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Finding the Third Proportional to 108,828.38 and 228,672.75

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Solution

The third proportional to 108,828.38 and 228,672.75 is: 480,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,828.38 : 228,672.75 = 228,672.75 : x
  2. Step 2: Convert to fraction form
    108,828.38/228,672.75 = 228,672.75/x
  3. Step 3: Cross multiply
    108,828.38x = 228,672.75 × 228,672.75
  4. Step 4: Simplify right side
    108,828.38x = 52,291,226,592.56
  5. Step 5: Solve for x
    x = 52,291,226,592.56/108,828.38
  6. Step 6: Final answer
    x = 480,492.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.