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Finding the Third Proportional to 228,582 and 336,243.38

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Solution

The third proportional to 228,582 and 336,243.38 is: 494,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,582 : 336,243.38 = 336,243.38 : x
  2. Step 2: Convert to fraction form
    228,582/336,243.38 = 336,243.38/x
  3. Step 3: Cross multiply
    228,582x = 336,243.38 × 336,243.38
  4. Step 4: Simplify right side
    228,582x = 113,059,607,231.39
  5. Step 5: Solve for x
    x = 113,059,607,231.39/228,582
  6. Step 6: Final answer
    x = 494,612.91

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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.