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Finding the Third Proportional to 228,946.31 and 336,559.69

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Solution

The third proportional to 228,946.31 and 336,559.69 is: 494,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,946.31 : 336,559.69 = 336,559.69 : x
  2. Step 2: Convert to fraction form
    228,946.31/336,559.69 = 336,559.69/x
  3. Step 3: Cross multiply
    228,946.31x = 336,559.69 × 336,559.69
  4. Step 4: Simplify right side
    228,946.31x = 113,272,423,250.10
  5. Step 5: Solve for x
    x = 113,272,423,250.10/228,946.31
  6. Step 6: Final answer
    x = 494,755.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.