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Finding the Third Proportional to 228,238 and 333,905

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Solution

The third proportional to 228,238 and 333,905 is: 488,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,238 : 333,905 = 333,905 : x
  2. Step 2: Convert to fraction form
    228,238/333,905 = 333,905/x
  3. Step 3: Cross multiply
    228,238x = 333,905 × 333,905
  4. Step 4: Simplify right side
    228,238x = 111,492,549,025
  5. Step 5: Solve for x
    x = 111,492,549,025/228,238
  6. Step 6: Final answer
    x = 488,492.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.